Class 6 Maths Ratio And Proportion Proportion Numericals

 

Problem: Determine if the following are in proportion. 15, 45, 40, 120

Solution: Taking the ratio of first two terms and last terms we get:

 15/45 = 1/3 (Reducing it to its lowest form)

 40/120 = 1/3

 Since the ratios are equal, the above respective terms are in proportion.

 

Problem : Are the following statements true?

 45 km : 60 km = 12 hours : 15 hours

Solution: To prove that the above terms are in proportion, the ratio of the first two terms and last two terms is taken:

45/60 = 3/4

12/15 = 3/4

Since the ratios are equal, the above statement is true. The given terms are in proportion.

 

Problem: Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.

25 cm : 1 m and Rs 40 : Rs 160

Solution: To determine if the ratios are in proportion, the ratio of first two terms and last two terms is calculation.

It is also important to remember that for calculating the ratio, the quantities have to be in the same unit.

Therefore, we get:

1m = 100 cm

25/100 = 1/4

40/160 = 1/4

Thus the ratios are equal; the above ratios form a proportion.

In this case, 25 and 160 are extreme terms while 1 and 40 are middle terms.

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