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Finding the Fourth Proportional to 5,149.53, 7,724.29 and 1,861.85

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Solution

The fourth proportional to 5,149.53, 7,724.29 and 1,861.85 is: 2,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.53 : 7,724.29 = 1,861.85 : x
  2. Step 2: Convert to fraction form
    5,149.53/7,724.29 = 1,861.85/x
  3. Step 3: Cross multiply
    5,149.53x = 7,724.29 × 1,861.85
  4. Step 4: Simplify right side
    5,149.53x = 14,381,510.32
  5. Step 5: Solve for x
    x = 14,381,510.32/5,149.53
  6. Step 6: Final answer
    x = 2,792.78

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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.