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Finding the Fourth Proportional to 5,149.65, 7,723.65 and 1,861.05

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Solution

The fourth proportional to 5,149.65, 7,723.65 and 1,861.05 is: 2,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.65 : 7,723.65 = 1,861.05 : x
  2. Step 2: Convert to fraction form
    5,149.65/7,723.65 = 1,861.05/x
  3. Step 3: Cross multiply
    5,149.65x = 7,723.65 × 1,861.05
  4. Step 4: Simplify right side
    5,149.65x = 14,374,098.83
  5. Step 5: Solve for x
    x = 14,374,098.83/5,149.65
  6. Step 6: Final answer
    x = 2,791.28

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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.