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Finding the Fourth Proportional to 20,658.38, 30,945.99 and 9,549.77

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Solution

The fourth proportional to 20,658.38, 30,945.99 and 9,549.77 is: 14,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.38 : 30,945.99 = 9,549.77 : x
  2. Step 2: Convert to fraction form
    20,658.38/30,945.99 = 9,549.77/x
  3. Step 3: Cross multiply
    20,658.38x = 30,945.99 × 9,549.77
  4. Step 4: Simplify right side
    20,658.38x = 295,527,086.92
  5. Step 5: Solve for x
    x = 295,527,086.92/20,658.38
  6. Step 6: Final answer
    x = 14,305.43

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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.