1

Problem

Solving the Proportion:

\$3:12\$::\$5:x\$

2

Step

Given Proportion

\$3:12\$::\$5:x\$

3

Step

First, convert the provided proportion into a fraction:

\$3/(12)\$ = \$5/x\$

4

Step

To solve the proportion, begin by cross-multiplying:

\$3 \times x\$ = \$12 \times 5\$ ⇒ 3x = 60

5

Step

The value of x is:

x = \$(60)/3\$

x = 20

6

Solution

The simplified proportion is x = 20.

7

Sumup

Please summarize steps

Choices

8

Choice-A

It is correct because it satisfies the proportion equation

Correct 20

9

Choice-B

This answer is incorrect because we calculated x to be 20, not 21

Wrong 21

10

Choice-C

This answer is incorrect because we calculated x to be 20, not 22

Wrong 22

11

Choice-D

This answer is incorrect because we calculated x to be 20, not 23

Wrong 23

12

Answer

Option

A

13

Sumup

Please summarize choices