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

Sum

x : 50 : : 3 : 2
⇒ × x 2 = 50 x 3
x = `(50 xx 3)/(2)`
= 75.

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Chapter 6: Ratio and Proportion - Exercise 7.2

Chapter 6 Ratio and Proportion
Exercise 7.2 | Q 1.4

If a, b, c and d are in proportion prove that `(13a + 17b)/(13c + 17d) = sqrt((2ma^2 - 3nb^2)/(2mc^2 - 3nd^2)`

If `(4m + 3n)/(4m - 3n) = 7/4`, use properties of proportion to find m : n

Which number should be subtracted from 12, 16 and 21 so that resultant numbers are in continued proportion?

4.5 g of an alloy of copper and zinc contains 3.5 g of copper. What weight of copper will there be in 18.9 g of the alloy?

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

If `a/c = c/d = c/f` prove that : (b² + d² + f²) (a² + c² + e²) = (ab + cd + ef)²

If a, b, c and d are in proportion, prove that: (ma + nb) : b = (mc + nd) : d

Determine if the following are in proportion.

15, 45, 40, 120

Write True (T) or False (F) against the following statement:

5.2 : 3.9 : : 3 : 4

Are the following statements true?

45 km : 60 km = 12 hours : 15 hours