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Finding the Fourth Proportional to 20,687.16, 31,043.70 and 8,375.16

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Solution

The fourth proportional to 20,687.16, 31,043.70 and 8,375.16 is: 12,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.16 : 31,043.70 = 8,375.16 : x
  2. Step 2: Convert to fraction form
    20,687.16/31,043.70 = 8,375.16/x
  3. Step 3: Cross multiply
    20,687.16x = 31,043.70 × 8,375.16
  4. Step 4: Simplify right side
    20,687.16x = 259,995,954.49
  5. Step 5: Solve for x
    x = 259,995,954.49/20,687.16
  6. Step 6: Final answer
    x = 12,567.99

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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.