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Mathematics

The mean proportional between 4 and 9 is :

  1. 4

  2. 6

  3. 9

  4. 36

Ratio Proportion

ICSE 2023

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Answer

Let x be the mean proportional between 4 and 9 then,

⇒4x=x9⇒x2=4×9⇒x2=36⇒x=36=6.\Rightarrow \dfrac{4}{x} = \dfrac{x}{9} \\[1em] \Rightarrow x^2 = 4 \times 9 \\[1em] \Rightarrow x^2 = 36 \\[1em] \Rightarrow x = \sqrt{36} = 6.

Hence, Option 2 is the correct option.

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