1

Problem

Find the fourth proportion to 5,10,12.

2

Step

Let us take the third proportion is

x

3

Step

We can write the above numbers in the proportional form (a :b::c :d):

5 : 10::12 : x

4

Formula

Hint: \$a/b::c/d\$.

5

Hint

Here a = 5 , b = 10 ,c = 12 & d = x.

6

Step

Let us find the x value:

x = \$ (\cancel10^2 \times 12)/\cancel5^1 = 2\times 12 = 24\$

x = 24

7

Solution

So, the final fourth proportion is x= 24.

8

Sumup

Please summarize steps

Choices

9

Choice-A

This is incorrect. It doesn’t satisfy the proportion equation

Wrong 20

10

Choice-B

This is correct because it satisfies the proportion equation

Correct 24

11

Choice-C

This is incorrect. It doesn’t satisfy the proportion equation

Wrong 22

12

Choice-D

This is incorrect. It doesn’t satisfy the proportion equation

Wrong 21

13

Answer

Option

B

14

Sumup

Please summarize choices