Fourth proportion to 12, 18 and 6 is same as the third proportion to k and 6. What is the value of k?

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SSC CGL 2020 Tier-I Official Paper 6 (Held On : 16 Aug 2021 Shift 3)
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  1. 13.5
  2. 3√6
  3. 3
  4. 4

Answer (Detailed Solution Below)

Option 4 : 4
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Detailed Solution

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Given:

Numbers = 12, 18 and 6

Calculation:

Forth proportion 12, 18 and 6 is n,

⇒ 12 : 18 :: 6 : n

⇒ 12/18 = 6/n

⇒ n = 9

Then,

Third proportional to k and 6 is 9.

⇒ k : 6 = 6 : 9

⇒ 9k = 36

⇒ k = 4

∴ Value of k is 4.

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