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Finding the Fourth Proportional to 3,847.85, 5,766.76 and 1,737.91

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Solution

The fourth proportional to 3,847.85, 5,766.76 and 1,737.91 is: 2,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.85 : 5,766.76 = 1,737.91 : x
  2. Step 2: Convert to fraction form
    3,847.85/5,766.76 = 1,737.91/x
  3. Step 3: Cross multiply
    3,847.85x = 5,766.76 × 1,737.91
  4. Step 4: Simplify right side
    3,847.85x = 10,022,109.87
  5. Step 5: Solve for x
    x = 10,022,109.87/3,847.85
  6. Step 6: Final answer
    x = 2,604.60

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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.