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Finding the Fourth Proportional to 5,156.87, 7,724.97 and 2,379.78

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Solution

The fourth proportional to 5,156.87, 7,724.97 and 2,379.78 is: 3,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.87 : 7,724.97 = 2,379.78 : x
  2. Step 2: Convert to fraction form
    5,156.87/7,724.97 = 2,379.78/x
  3. Step 3: Cross multiply
    5,156.87x = 7,724.97 × 2,379.78
  4. Step 4: Simplify right side
    5,156.87x = 18,383,729.11
  5. Step 5: Solve for x
    x = 18,383,729.11/5,156.87
  6. Step 6: Final answer
    x = 3,564.90

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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.