Find the fourth proportion of the following numbers: 1/3 of 27, 4/5 of 30, and 3/7 of 35.

Find the fourth proportion of the following numbers: 1/3…

Find the fourth proportion of the following numbers: $\frac{1}{3}$ of 27, $\frac{4}{5}$ of 30, and $\frac{3}{7}$ of 35.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 40.

$\frac{1}{3}$ × 27 = 9

$\frac{4}{5}$ × 30 = 24

$\frac{3}{7}$ × 35 = 15

Let the fourth proportion be x

⇒ $9\over24$ = $15\over x$

⇒ x = 40