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Finding the Fourth Proportional to 15,122.13, 22,687.80 and 7,731.78

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Solution

The fourth proportional to 15,122.13, 22,687.80 and 7,731.78 is: 11,600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.13 : 22,687.80 = 7,731.78 : x
  2. Step 2: Convert to fraction form
    15,122.13/22,687.80 = 7,731.78/x
  3. Step 3: Cross multiply
    15,122.13x = 22,687.80 × 7,731.78
  4. Step 4: Simplify right side
    15,122.13x = 175,416,964.85
  5. Step 5: Solve for x
    x = 175,416,964.85/15,122.13
  6. Step 6: Final answer
    x = 11,600.02

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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.