Question

1,5,3 , x and 8 are in proportion then x is equal to​

Answer 1

Appropriate Question :-

1.5, 3, x and 8 are in proportion. Then x is equal to ?

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Solution :-

➲ Given Information :-

• Extreme₁ value ➢ 1.5
• Extreme₂ value ➢ 8
• Mean₁ value ➢ 3
• Mean₂ value ➢ 'x'

➲ To Find :-

• Value of Mean₂ i.e., 'x'

➲ Concept :-

• Ratio & Proportions

➲ Formula Used :-

• $\boxed{ \boxed{ \bf{ \blue{product \: of \: means} = \green{ product \: of \: extremes}}}}$

➲ Explanation :-

• Simply substitute the given values in the formula mentioned above, after some minute calculations, we'll get the answer, i.e., value of Mean₂ ( 'x' ). So now, let's proceed towards our calculation.

➲ Calculation :-

Using the Formula,

$\boxed{ \boxed{ \bf{ \blue{product \: of \: means} = \green{ product \: of \: extremes}}}}$

Substituting the values given in the formula mentioned above, We get,

$\rm :\implies \rm{ \blue{product \: of \: means} = \green{ product \: of \: extremes}}$

Substituting the values, We get,

$\rm :\implies \rm{ \blue{Mean_1 × Mean₂} = \green{ Extreme_1 × Extreme₂}}$

Substituting given values,

$\rm :\implies \rm{ \blue{3 × x} = \green{ 1.5 × 8}}$

Transposing 3 in Left Hand Side of the equation, to Right Hand Side of the equation, We get,

$\rm : \implies \rm{ \blue{x} = \green{ \dfrac{1.5 \times 8}{3} }}$

Cancelling & Calculating further, We get,

$\rm : \implies \rm{ \blue{x} = \green{ \dfrac{ \cancel{1.5 }\times \cancel{8} \: \: \tiny{4}}{ \cancel{3} \: \: \tiny \cancel2} }}$

Therefore, We get,

$\rm : \implies \rm{ \blue{x} = \green{4}}$

$\rm \therefore \: \blue{mean_2} = \red 4 \\ \rm\therefore \: \boxed{ \boxed{ \bf\blue x = \red4}}$

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Final Answer :-

• The value of 'x' is 4

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Note :-

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Answer 2

Note: error in question instead of 1,5 it should be 1.5

Given: $1.5,3,x,8$ are in proportion.

To find: the value of x.

Solution:

Know that,

Product of extremes = product of means

$\[\begin{array}{l}3 \times x = 1.5 \times 8\\ \Rightarrow 3x = 12.0\\ \Rightarrow x = \frac{{12}}{3}\\ \Rightarrow x = 4\end{array}\]$

Hence, the value of x is $4.$