Find the Value of the Unknown in the Following Proportion :

Find the value of the unknown in the following proportion :

5 : 12 :: 15 : x

Sum

5 : 12 :: 15 : x

⇒ 5 × X = 12 x 15

⇒ x = `(12 xx 15)/5`

⇒ x = 36

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Chapter 7: Ratio and Proportion - Exercise 9.2

Chapter 7 Ratio and Proportion
Exercise 9.2 | Q 1.1

If a/b = c/d prove that each of the given ratio is equal to `(13a - 8c)/(13b - 8d)`

Find the third proportional to a² – b² and a + b.

Find the mean proportion of the following :

0.09 and 0.25

Find the fourth proportional to:
x³ - y², x⁴ + x²y²+ y⁴, x - y.

If `a = (b + c)/(2), c = (a + b)/(2)` and b is mean proportional between a and c, prove that `(1)/a + (1)/c = (1)/b`.

Find the value of x in the following proportions : x : 50 :: 3 : 2

Find the mean proportion of: 5 and 80

If y is mean proportional between x and z, prove that xyz (x + y + z)³ = (xy + yz + zx)³.

The shadow of a 3 m long stick is 4 m long. At the same time of the day, if the shadow of a flagstaff is 24 m long, how tall is the flagstaff?

A picture frame’s length and width are in the ratio 4 : 3. If the length is 28 cm, what is the width?