Question

Determine if the following are in proportion 24,28,36,48​

Answer 1

Answer:. No, they aren't in proportion,

Step-by-step explanation:

24:28 = 6:7 (4 tables)

36:48 = 6:8 (6 tables)

Answer 2

Given:

Four numbers:-

• 24
• 28
• 36
• 48

What To Find:

We have to find out whether these numbers are in proportion or not.

How To Find:

Method 1:-

• Take two pairs or sets consisting of 1st pair ie. 1st and 2nd no. and 2nd pair ie. 3rd and 4th no.
• First, divide 1st no by 2nd no.
• Next, divide 3rd no by 4th no.
• If the answers are the same, then they are in proportion.
• If the answers are not the same, then they are not in proportion.

Method 2:-

• Take two pairs or sets consisting of 1st pair ie. 1st and 4th no. and 2nd pair ie. 3rd and 2nd no.
• First, multiply the 1st and 4th no. (Product of Extremes)
• Next, multiply the 2nd and 3rd no. (Product of Mean)
• If the answers are the same, then they are in proportion.
• If the answers are not the same, then they are not in proportion.
• In other words, if the product of mean = the product of extremes, they are in proportion.
• If the product of mean ≠ the product of extremes, they are not in proportion.

Solution:

Method 1:-

• First and Second No.

24: 28

Also written as,

$\sf \implies \dfrac{24}{28}$

Divide them,

$\sf \implies \dfrac{6}{7}$

Also written as,

$\sf \implies 6:7$

• Third and Fourth No.

36: 48

Also written as,

$\sf \implies \dfrac{36}{48}$

Divide them,

$\sf \implies \dfrac{3}{4}$

Also written as,

$\sf \implies 3:4$

∴ Since 6:7 ≠ 3:4, they are not in proportion.

Method 2:-

• 1st and 4th No.

24 and 48

Write them as,

$\sf \implies 24 \times 48$

Multiply them,

$\sf \implies 1152$

• 2nd and 3rd No.

28 and 36

Write them as,

$\sf \implies 28 \times 36$

Multiply them,

$\sf \implies 1008$

∴ Since the product of means ≠ the product of extremes ie.1152 ≠ 1008, they are not in proportion.