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Finding the Fourth Proportional to 5,489.64, 8,235.99 and 1,791.41

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Solution

The fourth proportional to 5,489.64, 8,235.99 and 1,791.41 is: 2,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.64 : 8,235.99 = 1,791.41 : x
  2. Step 2: Convert to fraction form
    5,489.64/8,235.99 = 1,791.41/x
  3. Step 3: Cross multiply
    5,489.64x = 8,235.99 × 1,791.41
  4. Step 4: Simplify right side
    5,489.64x = 14,753,993.67
  5. Step 5: Solve for x
    x = 14,753,993.67/5,489.64
  6. Step 6: Final answer
    x = 2,687.61

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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.