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Finding the Fourth Proportional to 5,737.20, 8,612.20 and 3,138.80

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Solution

The fourth proportional to 5,737.20, 8,612.20 and 3,138.80 is: 4,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.20 : 8,612.20 = 3,138.80 : x
  2. Step 2: Convert to fraction form
    5,737.20/8,612.20 = 3,138.80/x
  3. Step 3: Cross multiply
    5,737.20x = 8,612.20 × 3,138.80
  4. Step 4: Simplify right side
    5,737.20x = 27,031,973.36
  5. Step 5: Solve for x
    x = 27,031,973.36/5,737.20
  6. Step 6: Final answer
    x = 4,711.70

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1.5x scale

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.