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Finding the Fourth Proportional to 20,687, 31,034.82 and 8,375

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Solution

The fourth proportional to 20,687, 31,034.82 and 8,375 is: 12,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687 : 31,034.82 = 8,375 : x
  2. Step 2: Convert to fraction form
    20,687/31,034.82 = 8,375/x
  3. Step 3: Cross multiply
    20,687x = 31,034.82 × 8,375
  4. Step 4: Simplify right side
    20,687x = 259,916,617.50
  5. Step 5: Solve for x
    x = 259,916,617.50/20,687
  6. Step 6: Final answer
    x = 12,564.25

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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.