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Finding the Fourth Proportional to 3,917.44, 5,409.98 and 3,281.56

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Solution

The fourth proportional to 3,917.44, 5,409.98 and 3,281.56 is: 4,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.44 : 5,409.98 = 3,281.56 : x
  2. Step 2: Convert to fraction form
    3,917.44/5,409.98 = 3,281.56/x
  3. Step 3: Cross multiply
    3,917.44x = 5,409.98 × 3,281.56
  4. Step 4: Simplify right side
    3,917.44x = 17,753,173.97
  5. Step 5: Solve for x
    x = 17,753,173.97/3,917.44
  6. Step 6: Final answer
    x = 4,531.83

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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.