Question

check whether the following terms are in proportion 4,6, 8, 12
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Answer 1

Solution:-

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$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

$\implies$ Here the terms has been given to us in the question that are 4, 6, 8, 12. Now the question has asked us to check wether the following terms are in proportion or not.

⛤ HOW TO DO:-

$\to$ To check wether the terms are in proportion or not we need to we the formula of product of means and product of extremes. By using this formula we will get the answer.

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ANSWER:-

⪼ Yes, the given terms are in proportion.

GIVEN:-

➢ Terms = 4, 6, 8, 12

TO FIND:-

• Here we have to check wether the given terms are in proportion or not.

SOLUTION:-

• We have to use the formula of product of means and product of extremes.

We know that:-

$\pink{\bigstar}\: \underline{\boxed{\rm \green{Product \: of \: means = Product \: of \: extremes}}}$

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So let's solve it!

• Checking:-

$\dashrightarrow \tt {\underbrace{4, \underbrace {6,8},12}}$

$\dashrightarrow \tt {\underbrace{6,8} = Product \: of \: means}$

$\dashrightarrow \tt {\underbrace{4,12} = Product \: of \: extremes}$

• After multiplying the product of means and extremes if we got the same product that means the given terms are in proportion.

⇢ Product of means = 6 × 8

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 6 × 8 = 48

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 48

⇢ Product of extremes = 4 × 12

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 4 × 12 = 48

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 48

⠀⠀⠀⠀⠀⠀⠀⠀⠀LHS = RHS

Product of means = Product of extremes

∴ The given terms are in proportion.

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Answer 2

Step-by-step explanation:

Solution:-

━━━━━━━━━━━━━━━━━━━━━━━━━━

$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

$\implies$ Here the terms has been given to us in the question that are 4, 6, 8, 12. Now the question has asked us to check wether the following terms are in proportion or not.

⛤ HOW TO DO:-

$\to$ To check wether the terms are in proportion or not we need to we the formula of product of means and product of extremes. By using this formula we will get the answer.

----------------------

ANSWER:-

⪼ Yes, the given terms are in proportion.

GIVEN:-

➢ Terms = 4, 6, 8, 12

TO FIND:-

Here we have to check wether the given terms are in proportion or not.

SOLUTION:-

We have to use the formula of product of means and product of extremes.

We know that:-

$\pink{\bigstar}\: \underline{\boxed{\rm \green{Product \: of \: means = Product \: of \: extremes}}}$

----------------------

So let's solve it!

Checking:-

$\dashrightarrow \tt {\underbrace{4, \underbrace {6,8},12}}$

$\dashrightarrow \tt {\underbrace{6,8} = Product \: of \: means}$

$\dashrightarrow \tt {\underbrace{4,12} = Product \: of \: extremes}$

After multiplying the product of means and extremes if we got the same product that means the given terms are in proportion.

⇢ Product of means = 6 × 8

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 6 × 8 = 48

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 48

⇢ Product of extremes = 4 × 12

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 4 × 12 = 48

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 48

⠀⠀⠀⠀⠀⠀⠀⠀⠀LHS = RHS

Product of means = Product of extremes

∴ The given terms are in proportion.

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