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Finding the Fourth Proportional to 10,229.68, 15,337.69 and 8,257.74

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Solution

The fourth proportional to 10,229.68, 15,337.69 and 8,257.74 is: 12,381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.68 : 15,337.69 = 8,257.74 : x
  2. Step 2: Convert to fraction form
    10,229.68/15,337.69 = 8,257.74/x
  3. Step 3: Cross multiply
    10,229.68x = 15,337.69 × 8,257.74
  4. Step 4: Simplify right side
    10,229.68x = 126,654,578.06
  5. Step 5: Solve for x
    x = 126,654,578.06/10,229.68
  6. Step 6: Final answer
    x = 12,381.09

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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.