Finding the Fourth Proportional to 53.47, 73.77 and 37.09
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Solution
The fourth proportional to 53.47, 73.77 and 37.09 is: 51.17
Step by Step Solution
- Step 1: Write the proportion equation
53.47 : 73.77 = 37.09 : x - Step 2: Convert to fraction form
53.47/73.77 = 37.09/x - Step 3: Cross multiply
53.47x = 73.77 × 37.09 - Step 4: Simplify right side
53.47x = 2,736.13 - Step 5: Solve for x
x = 2,736.13/53.47 - Step 6: Final answer
x = 51.17
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.