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Finding the Fourth Proportional to 8,424.52, 12,638 and 3,231.60

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Solution

The fourth proportional to 8,424.52, 12,638 and 3,231.60 is: 4,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.52 : 12,638 = 3,231.60 : x
  2. Step 2: Convert to fraction form
    8,424.52/12,638 = 3,231.60/x
  3. Step 3: Cross multiply
    8,424.52x = 12,638 × 3,231.60
  4. Step 4: Simplify right side
    8,424.52x = 40,840,960.80
  5. Step 5: Solve for x
    x = 40,840,960.80/8,424.52
  6. Step 6: Final answer
    x = 4,847.87

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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.