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Finding the Fourth Proportional to 3,711.87, 5,567.78 and 1,520.60

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Solution

The fourth proportional to 3,711.87, 5,567.78 and 1,520.60 is: 2,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.87 : 5,567.78 = 1,520.60 : x
  2. Step 2: Convert to fraction form
    3,711.87/5,567.78 = 1,520.60/x
  3. Step 3: Cross multiply
    3,711.87x = 5,567.78 × 1,520.60
  4. Step 4: Simplify right side
    3,711.87x = 8,466,342.23
  5. Step 5: Solve for x
    x = 8,466,342.23/3,711.87
  6. Step 6: Final answer
    x = 2,280.88

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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.