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Finding the Fourth Proportional to 8,540.71, 12,815.03 and 3,273.96

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Solution

The fourth proportional to 8,540.71, 12,815.03 and 3,273.96 is: 4,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.71 : 12,815.03 = 3,273.96 : x
  2. Step 2: Convert to fraction form
    8,540.71/12,815.03 = 3,273.96/x
  3. Step 3: Cross multiply
    8,540.71x = 12,815.03 × 3,273.96
  4. Step 4: Simplify right side
    8,540.71x = 41,955,933.44
  5. Step 5: Solve for x
    x = 41,955,933.44/8,540.71
  6. Step 6: Final answer
    x = 4,912.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.