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Finding the Fourth Proportional to 20,491.52, 30,731.20 and 8,802

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Solution

The fourth proportional to 20,491.52, 30,731.20 and 8,802 is: 13,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,491.52 : 30,731.20 = 8,802 : x
  2. Step 2: Convert to fraction form
    20,491.52/30,731.20 = 8,802/x
  3. Step 3: Cross multiply
    20,491.52x = 30,731.20 × 8,802
  4. Step 4: Simplify right side
    20,491.52x = 270,496,000.40
  5. Step 5: Solve for x
    x = 270,496,000.40/20,491.52
  6. Step 6: Final answer
    x = 13,200.39

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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.