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Finding the Fourth Proportional to 1,487.28, 2,052.42 and 815.08

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Solution

The fourth proportional to 1,487.28, 2,052.42 and 815.08 is: 1,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.28 : 2,052.42 = 815.08 : x
  2. Step 2: Convert to fraction form
    1,487.28/2,052.42 = 815.08/x
  3. Step 3: Cross multiply
    1,487.28x = 2,052.42 × 815.08
  4. Step 4: Simplify right side
    1,487.28x = 1,672,892.88
  5. Step 5: Solve for x
    x = 1,672,892.88/1,487.28
  6. Step 6: Final answer
    x = 1,124.80

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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.