Find the fourth proportion of the following numbers: \(\frac{1}{3}\)rd of 27,\(\frac{4}{5}\)th of 30,\(\frac{3}{7}\)th of 35.

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SSC Selection Post 2024 (Higher Secondary Level) Official Paper (Held On: 24 Jun, 2024 Shift 2)
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  1. 35
  2. 40
  3. 45
  4. 38

Answer (Detailed Solution Below)

Option 2 : 40
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Detailed Solution

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Given:

First number = (1/3)rd of 27 = 9

Second number = (4/5)th of 30 = 24

Third number = (3/7)th of 35 = 15

Formula used:

If a, b, c, and d are in proportion, then a/b = c/d

Calculation:

We need to find the fourth proportion (d).

⇒ 9/24 = 15/d

⇒ d = (24 × 15)/9

⇒ d = 360/9

⇒ d = 40

∴ The correct answer is option 2.

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