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In this lesson, we will learn how to find unknown information when two or three proportions are compared.

Q1:

Given that 2 1 π = 7 9 = π 3 6 , find the values of π and π .

Q2:

Fill in the blanks: 5 2 = 1 5 β― = 3 β― = β― 1 4 = β― 8 4 5 .

Q3:

If 0 . 8 0 . 4 = β― 7 . 8 = 9 . 5 β― = β― 4 . 3 = 3 . 5 β― , use the method of cross multiplication to find the missing numbers.

Q4:

If 2 π 9 π = 3 2 , find π π .

Q5:

If 2 π = 9 π , determine 1 3 π 2 π .

Q6:

Given that π₯ 1 5 = π¦ 5 = π§ 7 = 7 π₯ β 6 π¦ + 4 π§ π , calculate the value of π .

Q7:

If 4 6 π₯ = 2 9 π¦ , determine the value of π₯ π¦ .

Q8:

Given that the ratio 1 9 βΆ 1 4 is the same as π₯ βΆ 5 6 , determine the value of π₯ .

Q9:

If π 7 = π 4 = π 1 4 = 6 π β 7 π + 2 π 3 π₯ , find the value of π₯ .

Q10:

If π₯ 1 9 = π¦ 1 1 = 3 π₯ β π¦ π , find the value of π .

Q11:

Given that π¦ π§ = π§ π = π π = 4 1 1 , determine the solution set of the equation π¦ π₯ β 2 π§ π₯ + π = 0 ο¨ .

Q12:

Given that 8 . 7 π = 2 7 = π 4 0 . 6 , find the values of π and π .

Q13:

If 1 5 π π π = 5 π 8 π 2 , determine the value of π where both π and π β 0 .

Q14:

If π₯ 1 4 = π¦ 8 = 9 π₯ + π¦ π , find the value of π .

Q15:

If 5 π₯ = 2 π¦ = π π¦ β π₯ , find the value of π .

Q16:

If π₯ π¦ = π¦ π§ = π§ 2 = 4 , find the value of π₯ .

Q17:

In the box below, corresponding numbers on each row are proportional. Find the values of π and π .

Q18:

What is the value of π₯ , the first proportional of the numbers π₯ , β 6 , 15 and 3 β 6 ?

Q19:

If π π = π π = π π , then 3 π + 1 5 π + 1 2 π 3 π + β― + 1 2 π = π π . Find the missing term.

Q20:

If 1 6 9 π₯ = 1 9 6 π¦ 2 2 , where π₯ β β + and π¦ β β + , find the value of π¦ π₯ .

Q21:

π + π π = β― π 2 .

Q22:

Fill in the blanks: 1 0 3 = 9 0 β― = 2 β― = β― 1 2 = β― 3 0 9 1 0 .

Q23:

Fill in the blanks: 5 3 = 3 5 β― = 1 0 β― = β― 1 2 = β― 2 7 3 5 .

Q24:

Fill in the blanks: 8 5 = 7 2 β― = 6 β― = β― 1 4 = β― 3 0 3 8 .

Q25:

Fill in the blanks: 6 5 = 6 0 β― = 3 β― = β― 1 5 = β― 2 0 5 6 .

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