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Finding the Fourth Proportional to 5,149.88, 7,723.71 and 1,861.15

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Solution

The fourth proportional to 5,149.88, 7,723.71 and 1,861.15 is: 2,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.88 : 7,723.71 = 1,861.15 : x
  2. Step 2: Convert to fraction form
    5,149.88/7,723.71 = 1,861.15/x
  3. Step 3: Cross multiply
    5,149.88x = 7,723.71 × 1,861.15
  4. Step 4: Simplify right side
    5,149.88x = 14,374,963.56
  5. Step 5: Solve for x
    x = 14,374,963.56/5,149.88
  6. Step 6: Final answer
    x = 2,791.32

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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.