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Finding the Fourth Proportional to 20,545.76, 30,815.28 and 9,452

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Solution

The fourth proportional to 20,545.76, 30,815.28 and 9,452 is: 14,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,545.76 : 30,815.28 = 9,452 : x
  2. Step 2: Convert to fraction form
    20,545.76/30,815.28 = 9,452/x
  3. Step 3: Cross multiply
    20,545.76x = 30,815.28 × 9,452
  4. Step 4: Simplify right side
    20,545.76x = 291,266,026.56
  5. Step 5: Solve for x
    x = 291,266,026.56/20,545.76
  6. Step 6: Final answer
    x = 14,176.45

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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.