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Finding the Fourth Proportional to 15,286.60, 22,901.10 and 7,865.80

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Solution

The fourth proportional to 15,286.60, 22,901.10 and 7,865.80 is: 11,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286.60 : 22,901.10 = 7,865.80 : x
  2. Step 2: Convert to fraction form
    15,286.60/22,901.10 = 7,865.80/x
  3. Step 3: Cross multiply
    15,286.60x = 22,901.10 × 7,865.80
  4. Step 4: Simplify right side
    15,286.60x = 180,135,472.38
  5. Step 5: Solve for x
    x = 180,135,472.38/15,286.60
  6. Step 6: Final answer
    x = 11,783.88

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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.