If p is the third proportional to 3, 9, then what is the fourth proportional to 6, p, 4?

This question was previously asked in
SSC CGL 2020 Tier-I Official Paper 19 (Held On : 24 Aug 2021 Shift 1)
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  1. 10
  2. \(\frac{3}{2}\)
  3. 18
  4. 2√3

Answer (Detailed Solution Below)

Option 3 : 18
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Detailed Solution

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Given:

p is the third proportional to 3, 9

Calculation:

Let the fourth proportion be x

p is the third proportional to 3, 9

⇒ 3/9 = 9/p

⇒ 3p = 81

⇒ p = 27

Now,

The fourth proportion is

⇒ 6/27 = 4/x

⇒ 6x = (27 × 4)

⇒ 6x = 108

⇒ x = 18

∴ The value of fourth proportion is 18

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