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Finding the Fourth Proportional to 5,747.87, 8,637.95 and 3,408.20

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Solution

The fourth proportional to 5,747.87, 8,637.95 and 3,408.20 is: 5,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.87 : 8,637.95 = 3,408.20 : x
  2. Step 2: Convert to fraction form
    5,747.87/8,637.95 = 3,408.20/x
  3. Step 3: Cross multiply
    5,747.87x = 8,637.95 × 3,408.20
  4. Step 4: Simplify right side
    5,747.87x = 29,439,861.19
  5. Step 5: Solve for x
    x = 29,439,861.19/5,747.87
  6. Step 6: Final answer
    x = 5,121.87

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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.