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Finding the Fourth Proportional to 7,737.43, 10,677.87 and 4,200.87

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Solution

The fourth proportional to 7,737.43, 10,677.87 and 4,200.87 is: 5,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.43 : 10,677.87 = 4,200.87 : x
  2. Step 2: Convert to fraction form
    7,737.43/10,677.87 = 4,200.87/x
  3. Step 3: Cross multiply
    7,737.43x = 10,677.87 × 4,200.87
  4. Step 4: Simplify right side
    7,737.43x = 44,856,343.75
  5. Step 5: Solve for x
    x = 44,856,343.75/7,737.43
  6. Step 6: Final answer
    x = 5,797.32

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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.