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Finding the Fourth Proportional to 5,489.43, 8,235.24 and 1,791.64

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Solution

The fourth proportional to 5,489.43, 8,235.24 and 1,791.64 is: 2,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.43 : 8,235.24 = 1,791.64 : x
  2. Step 2: Convert to fraction form
    5,489.43/8,235.24 = 1,791.64/x
  3. Step 3: Cross multiply
    5,489.43x = 8,235.24 × 1,791.64
  4. Step 4: Simplify right side
    5,489.43x = 14,754,585.39
  5. Step 5: Solve for x
    x = 14,754,585.39/5,489.43
  6. Step 6: Final answer
    x = 2,687.82

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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.