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Finding the Fourth Proportional to 6,382.89, 9,581.67 and 3,791.34

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Solution

The fourth proportional to 6,382.89, 9,581.67 and 3,791.34 is: 5,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.89 : 9,581.67 = 3,791.34 : x
  2. Step 2: Convert to fraction form
    6,382.89/9,581.67 = 3,791.34/x
  3. Step 3: Cross multiply
    6,382.89x = 9,581.67 × 3,791.34
  4. Step 4: Simplify right side
    6,382.89x = 36,327,368.74
  5. Step 5: Solve for x
    x = 36,327,368.74/6,382.89
  6. Step 6: Final answer
    x = 5,691.37

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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.