Question

25. Find the value of y, if 24, 36, y and 9 are in proportion.

Answer 1

Answer:

The value of x in the given proportion is 60.

Step-by-step explanation:

Given :

Proportion = 24 : 36 : : x : 90

To find :

Value of x

Solution :

\longrightarrow⟶ 24 : 36 : : x : 90

\boxed{\sf{Mean \times Mean\:Terms = Extreme \times Extreme \:Terms}}

Mean×MeanTerms=Extreme×ExtremeTerms

Mean Terms = 36 and x

Extreme Terms = 24 and 90

\begin{gathered}\sf{\longrightarrow} \: 36 \times x = 24 \times 90 \\ \\ \sf{\longrightarrow} \: 36x = 2160 \\ \\ \sf{\longrightarrow} \: x = \dfrac{2160}{36} \\ \\ \sf{\longrightarrow} \: x = 60\end{gathered}

⟶36×x=24×90

⟶36x=2160

⟶x=

36

2160

⟶x=60

The Numbers which completes the proportion is 60.

\therefore∴ The value of x in the given proportion is 60.