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Finding the Fourth Proportional to 8,424.41, 12,638.23 and 3,229.88

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Solution

The fourth proportional to 8,424.41, 12,638.23 and 3,229.88 is: 4,845.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.41 : 12,638.23 = 3,229.88 : x
  2. Step 2: Convert to fraction form
    8,424.41/12,638.23 = 3,229.88/x
  3. Step 3: Cross multiply
    8,424.41x = 12,638.23 × 3,229.88
  4. Step 4: Simplify right side
    8,424.41x = 40,819,895.05
  5. Step 5: Solve for x
    x = 40,819,895.05/8,424.41
  6. Step 6: Final answer
    x = 4,845.43

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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.