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Finding the Fourth Proportional to 5,739.87, 8,609.76 and 3,791.61

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Solution

The fourth proportional to 5,739.87, 8,609.76 and 3,791.61 is: 5,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.87 : 8,609.76 = 3,791.61 : x
  2. Step 2: Convert to fraction form
    5,739.87/8,609.76 = 3,791.61/x
  3. Step 3: Cross multiply
    5,739.87x = 8,609.76 × 3,791.61
  4. Step 4: Simplify right side
    5,739.87x = 32,644,852.11
  5. Step 5: Solve for x
    x = 32,644,852.11/5,739.87
  6. Step 6: Final answer
    x = 5,687.39

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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.