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Finding the Fourth Proportional to 5,691.56, 7,854.11 and 4,198.94

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Solution

The fourth proportional to 5,691.56, 7,854.11 and 4,198.94 is: 5,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.56 : 7,854.11 = 4,198.94 : x
  2. Step 2: Convert to fraction form
    5,691.56/7,854.11 = 4,198.94/x
  3. Step 3: Cross multiply
    5,691.56x = 7,854.11 × 4,198.94
  4. Step 4: Simplify right side
    5,691.56x = 32,978,936.64
  5. Step 5: Solve for x
    x = 32,978,936.64/5,691.56
  6. Step 6: Final answer
    x = 5,794.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.