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Finding the Fourth Proportional to 12,367.84, 18,553.92 and 6,818.80

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Solution

The fourth proportional to 12,367.84, 18,553.92 and 6,818.80 is: 10,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.84 : 18,553.92 = 6,818.80 : x
  2. Step 2: Convert to fraction form
    12,367.84/18,553.92 = 6,818.80/x
  3. Step 3: Cross multiply
    12,367.84x = 18,553.92 × 6,818.80
  4. Step 4: Simplify right side
    12,367.84x = 126,515,469.70
  5. Step 5: Solve for x
    x = 126,515,469.70/12,367.84
  6. Step 6: Final answer
    x = 10,229.39

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1.5x scale

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.