What is the ratio of the fourth proportional of 2, 5, 6 and the fourth proportional of 6, 8, 9?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 3)
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  1. 3 ∶ 2
  2. 5 ∶ 3
  3. 3 ∶ 4
  4. 5 ∶ 4

Answer (Detailed Solution Below)

Option 4 : 5 ∶ 4
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Detailed Solution

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Given:

1st Proportional(a) = 2; 6

2nd Proportional(b) = 5; 8

3rd Proportional(c) = 6; 9

Formula Used:

4th Proportional(d) = (b x c)/a

Calculation:

According to the formula,

(5 x 6)/2 = 15

The fourth proportion is 15

Again,

(8 x 9)/6 = 12

The fourth proportion is 12

Ratio = 15 : 12

⇒ 5 : 4

∴ The ratio is 5 : 4

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