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Finding the Fourth Proportional to 7,324.87, 10,108.94 and 4,138.75

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Solution

The fourth proportional to 7,324.87, 10,108.94 and 4,138.75 is: 5,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.87 : 10,108.94 = 4,138.75 : x
  2. Step 2: Convert to fraction form
    7,324.87/10,108.94 = 4,138.75/x
  3. Step 3: Cross multiply
    7,324.87x = 10,108.94 × 4,138.75
  4. Step 4: Simplify right side
    7,324.87x = 41,838,375.43
  5. Step 5: Solve for x
    x = 41,838,375.43/7,324.87
  6. Step 6: Final answer
    x = 5,711.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.