Carol V.

asked • 07/22/14

3 to 4 ratio

THERE ARE 3 SIMILAR INCH MEASUREMENTS.
 
THE RATIO OF MEASUREMENT A TO MEASUREMENT B IS 5 TO 8 INCHES.
 
THE RATIO OF THE MEASUREMENT B TO C IS 3 TO 4.
 
WHAT IS THE RATIO OF TRIANGLE A TO C? ---- AND WHAT ARE THE CALCULATIONS?

Carol V.

I cannot understand why both comparisons are included for calculation purposes.  
 
B to C is a 3 to 4 comparison - which means that C is 1/4 bigger than B or 10 (8 x 125% = 10).  Why would the calculation of this comparison be included in the calculation of the first comparison?
 
Yes, after you arrive at the result of the 3 to 4 relationship (10), then you'd use that answer to compare to 5.  So A to C would be 1 to 2.
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07/23/14

Arthur D.

tutor
When you said ratio of triangle A to C I assumed area of a triangle, thus I assumed 5 to 8 and 3 to 4 to be area ratios. If I assumed wrong, then you can repost the problem and give more information.
Arthur D.
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07/24/14

Arthur D.

tutor
After more consideration, look at these examples.
Triangle A has height 15 and base 30.
Triangle B has height 24 and base 48.
Triangle C has height 32 and base 64.
The ratio of height A to height B is 15/24=5/8 and 30/48=5/8 also.
The ratio of height B to height C is 24/32=3/4 and 48/64=3/4 also.
The ratio of height A to height C is 15/32 and 30/64=15/32 also.
The ratio of the area of triangle A to triangle C is (0.5*15*30)/(0.5*32*64)=225/1024
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07/24/14

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