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Finding the Fourth Proportional to 13,789.00, 20,691.26 and 7,463.71

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Solution

The fourth proportional to 13,789.00, 20,691.26 and 7,463.71 is: 11,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.00 : 20,691.26 = 7,463.71 : x
  2. Step 2: Convert to fraction form
    13,789.00/20,691.26 = 7,463.71/x
  3. Step 3: Cross multiply
    13,789.00x = 20,691.26 × 7,463.71
  4. Step 4: Simplify right side
    13,789.00x = 154,433,423.40
  5. Step 5: Solve for x
    x = 154,433,423.40/13,789.00
  6. Step 6: Final answer
    x = 11,199.76

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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.