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Finding the Fourth Proportional to 8,480.31, 12,724.11 and 3,289.83

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Solution

The fourth proportional to 8,480.31, 12,724.11 and 3,289.83 is: 4,936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.31 : 12,724.11 = 3,289.83 : x
  2. Step 2: Convert to fraction form
    8,480.31/12,724.11 = 3,289.83/x
  3. Step 3: Cross multiply
    8,480.31x = 12,724.11 × 3,289.83
  4. Step 4: Simplify right side
    8,480.31x = 41,860,158.80
  5. Step 5: Solve for x
    x = 41,860,158.80/8,480.31
  6. Step 6: Final answer
    x = 4,936.16

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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.