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Finding the Fourth Proportional to 15,338.50, 23,013.15 and 7,552.78

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Solution

The fourth proportional to 15,338.50, 23,013.15 and 7,552.78 is: 11,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338.50 : 23,013.15 = 7,552.78 : x
  2. Step 2: Convert to fraction form
    15,338.50/23,013.15 = 7,552.78/x
  3. Step 3: Cross multiply
    15,338.50x = 23,013.15 × 7,552.78
  4. Step 4: Simplify right side
    15,338.50x = 173,813,259.06
  5. Step 5: Solve for x
    x = 173,813,259.06/15,338.50
  6. Step 6: Final answer
    x = 11,331.83

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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.