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Finding the Fourth Proportional to 13,788.78, 20,687.85 and 6,002.70

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Solution

The fourth proportional to 13,788.78, 20,687.85 and 6,002.70 is: 9,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.78 : 20,687.85 = 6,002.70 : x
  2. Step 2: Convert to fraction form
    13,788.78/20,687.85 = 6,002.70/x
  3. Step 3: Cross multiply
    13,788.78x = 20,687.85 × 6,002.70
  4. Step 4: Simplify right side
    13,788.78x = 124,182,957.20
  5. Step 5: Solve for x
    x = 124,182,957.20/13,788.78
  6. Step 6: Final answer
    x = 9,006.09

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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.