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Finding the Fourth Proportional to 20,685, 31,031.82 and 8,373

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Solution

The fourth proportional to 20,685, 31,031.82 and 8,373 is: 12,561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685 : 31,031.82 = 8,373 : x
  2. Step 2: Convert to fraction form
    20,685/31,031.82 = 8,373/x
  3. Step 3: Cross multiply
    20,685x = 31,031.82 × 8,373
  4. Step 4: Simplify right side
    20,685x = 259,829,428.86
  5. Step 5: Solve for x
    x = 259,829,428.86/20,685
  6. Step 6: Final answer
    x = 12,561.25

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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.