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Finding the Fourth Proportional to 5,887.78, 8,125.09 and 3,198.97

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Solution

The fourth proportional to 5,887.78, 8,125.09 and 3,198.97 is: 4,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.78 : 8,125.09 = 3,198.97 : x
  2. Step 2: Convert to fraction form
    5,887.78/8,125.09 = 3,198.97/x
  3. Step 3: Cross multiply
    5,887.78x = 8,125.09 × 3,198.97
  4. Step 4: Simplify right side
    5,887.78x = 25,991,921.32
  5. Step 5: Solve for x
    x = 25,991,921.32/5,887.78
  6. Step 6: Final answer
    x = 4,414.55

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