1

Problem

Solve the Proportion:

\$(x+1)2 : 3\$= \$8 : 3\$

2

Step

Given Proportion

\$(x + 1)2 : 3\$=\$8 : 3\$

3

Step

First, convert the provided proportion into a fraction:

\$(x + 1)2 / 3\$ = \$8 / 3\$

4

Step

To solve the proportion, begin by cross-multiplying:

\$(2x + 2) \times 3\$ = \$8 \times 3\$

⇒6x + 6 = 24

5

Step

The value of x is:

6x = 18

\$ x = \cancel(18)^3 / \cancel(6)\$

x = 3

6

Solution

So, the simplified proportion is x = 3.

7

Sumup

Please summarize steps

Choices

8

Choice-A

Incorrect. The correct value of x is 3, not 4

Wrong 4

9

Choice-B

This is correct because it matches the solution we obtained by solving the proportion

Correct 3

10

Choice-C

Incorrect. The correct value of x is 3, not 6

Wrong 6

11

Choice-D

Incorrect. The correct value of x is 3, not 5

Wrong 5

12

Answer

Option

B

13

Sumup

Please summarize choices