12 : □ = □ : 4 = 8 : 16

12 : `square` = `square` : 4 = 8 : 16

Fill in the Blanks

12 : 24 = 2 : 4 = 8 : 16

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Chapter 3: Ratio and Proportion - Exercise 3.3 [Page 58]

Chapter 3 Ratio and Proportion
Exercise 3.3 | Q 1. (iv) | Page 58

If `a/b = c/d`, show that: `(a^3c + ac^3)/(b^3d + bd^3) = (a + c)^4/(b + d)^4`.

Check whether the following numbers are in continued proportion.

3, 5, 8

If a : b = c : d; then show that (ax+ by) : b = (cx+ dy) : d

Find the fourth proportional to:
2xy, x², y²

If a, b, c are in continued proportion, prove that a : c = (a² + b²) : (b² + c²).

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?

A given quantity of rice is sufficient for 60 persons for 3 days. How many days would the rice last for 18 persons?

If 57 : x : : 51 : 85, then the value of x is

In covering 111 km, a car consumes 6 L of petrol. How many kilometers will it go to 10 L of petrol?

If a, b, c and d are in proportion, prove that: `(a + c)^3/(b + d)^3 = (a(a - c)^2)/(b(b - d)^2)`