Question : Find the fourth proportion of the numbers $\frac{1}{3}{rd}$ of 15, $\frac{4}{5}{th}$ of 25, $\frac{3}{7}{th}$ of 35:
Option 1: 65
Option 2: 55
Option 3: 60
Option 4: 50
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Correct Answer: 60
Solution :
$\frac{1}{3}{rd}$ of 15 = 5
$\frac{4}{5}{th}$ of 25 = 20
$\frac{3}{7}{th}$ of 35 = 15
Let the fourth proportion be $x$
5 : 20 :: 15 : $x$
Fourth proportion, $x$ = $\frac{20×15}{5}$ = 60
Hence, the correct answer is 60.
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