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Finding the Fourth Proportional to 13,787.70, 20,691.98 and 10,099.52

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Solution

The fourth proportional to 13,787.70, 20,691.98 and 10,099.52 is: 15,156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.70 : 20,691.98 = 10,099.52 : x
  2. Step 2: Convert to fraction form
    13,787.70/20,691.98 = 10,099.52/x
  3. Step 3: Cross multiply
    13,787.70x = 20,691.98 × 10,099.52
  4. Step 4: Simplify right side
    13,787.70x = 208,978,987.64
  5. Step 5: Solve for x
    x = 208,978,987.64/13,787.70
  6. Step 6: Final answer
    x = 15,156.91

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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.