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Finding the Fourth Proportional to 20,903, 31,345.08 and 15,035

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Solution

The fourth proportional to 20,903, 31,345.08 and 15,035 is: 22,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,903 : 31,345.08 = 15,035 : x
  2. Step 2: Convert to fraction form
    20,903/31,345.08 = 15,035/x
  3. Step 3: Cross multiply
    20,903x = 31,345.08 × 15,035
  4. Step 4: Simplify right side
    20,903x = 471,273,277.80
  5. Step 5: Solve for x
    x = 471,273,277.80/20,903
  6. Step 6: Final answer
    x = 22,545.72

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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.