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Finding the Fourth Proportional to 3,458.97, 5,188.46 and 861.91

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Solution

The fourth proportional to 3,458.97, 5,188.46 and 861.91 is: 1,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.97 : 5,188.46 = 861.91 : x
  2. Step 2: Convert to fraction form
    3,458.97/5,188.46 = 861.91/x
  3. Step 3: Cross multiply
    3,458.97x = 5,188.46 × 861.91
  4. Step 4: Simplify right side
    3,458.97x = 4,471,968.28
  5. Step 5: Solve for x
    x = 4,471,968.28/3,458.97
  6. Step 6: Final answer
    x = 1,292.86

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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.