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Finding the Fourth Proportional to 10,589.28, 15,866.64 and 5,388

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Solution

The fourth proportional to 10,589.28, 15,866.64 and 5,388 is: 8,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.28 : 15,866.64 = 5,388 : x
  2. Step 2: Convert to fraction form
    10,589.28/15,866.64 = 5,388/x
  3. Step 3: Cross multiply
    10,589.28x = 15,866.64 × 5,388
  4. Step 4: Simplify right side
    10,589.28x = 85,489,456.32
  5. Step 5: Solve for x
    x = 85,489,456.32/10,589.28
  6. Step 6: Final answer
    x = 8,073.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.