Finding the Fourth Proportional to 37.69, 52.01 and 27.99
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Solution
The fourth proportional to 37.69, 52.01 and 27.99 is: 38.62
Step by Step Solution
- Step 1: Write the proportion equation
37.69 : 52.01 = 27.99 : x - Step 2: Convert to fraction form
37.69/52.01 = 27.99/x - Step 3: Cross multiply
37.69x = 52.01 × 27.99 - Step 4: Simplify right side
37.69x = 1,455.76 - Step 5: Solve for x
x = 1,455.76/37.69 - Step 6: Final answer
x = 38.62
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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.