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Finding the Fourth Proportional to 6,147.75, 8,481.92 and 3,629.96

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Solution

The fourth proportional to 6,147.75, 8,481.92 and 3,629.96 is: 5,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.75 : 8,481.92 = 3,629.96 : x
  2. Step 2: Convert to fraction form
    6,147.75/8,481.92 = 3,629.96/x
  3. Step 3: Cross multiply
    6,147.75x = 8,481.92 × 3,629.96
  4. Step 4: Simplify right side
    6,147.75x = 30,789,049.28
  5. Step 5: Solve for x
    x = 30,789,049.28/6,147.75
  6. Step 6: Final answer
    x = 5,008.18

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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.