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Finding the Fourth Proportional to 20,757.96, 28,649.70 and 12,375

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Solution

The fourth proportional to 20,757.96, 28,649.70 and 12,375 is: 17,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.96 : 28,649.70 = 12,375 : x
  2. Step 2: Convert to fraction form
    20,757.96/28,649.70 = 12,375/x
  3. Step 3: Cross multiply
    20,757.96x = 28,649.70 × 12,375
  4. Step 4: Simplify right side
    20,757.96x = 354,540,037.50
  5. Step 5: Solve for x
    x = 354,540,037.50/20,757.96
  6. Step 6: Final answer
    x = 17,079.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.