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Finding the Fourth Proportional to 6,481.30, 8,943.64 and 3,648.52

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Solution

The fourth proportional to 6,481.30, 8,943.64 and 3,648.52 is: 5,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.30 : 8,943.64 = 3,648.52 : x
  2. Step 2: Convert to fraction form
    6,481.30/8,943.64 = 3,648.52/x
  3. Step 3: Cross multiply
    6,481.30x = 8,943.64 × 3,648.52
  4. Step 4: Simplify right side
    6,481.30x = 32,631,049.41
  5. Step 5: Solve for x
    x = 32,631,049.41/6,481.30
  6. Step 6: Final answer
    x = 5,034.65

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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.