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Finding the Fourth Proportional to 3,937.78, 5,909.25 and 1,472.62

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Solution

The fourth proportional to 3,937.78, 5,909.25 and 1,472.62 is: 2,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.78 : 5,909.25 = 1,472.62 : x
  2. Step 2: Convert to fraction form
    3,937.78/5,909.25 = 1,472.62/x
  3. Step 3: Cross multiply
    3,937.78x = 5,909.25 × 1,472.62
  4. Step 4: Simplify right side
    3,937.78x = 8,702,079.74
  5. Step 5: Solve for x
    x = 8,702,079.74/3,937.78
  6. Step 6: Final answer
    x = 2,209.89

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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.