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Finding the Fourth Proportional to 20,943, 31,428.90 and 8,631

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Solution

The fourth proportional to 20,943, 31,428.90 and 8,631 is: 12,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,943 : 31,428.90 = 8,631 : x
  2. Step 2: Convert to fraction form
    20,943/31,428.90 = 8,631/x
  3. Step 3: Cross multiply
    20,943x = 31,428.90 × 8,631
  4. Step 4: Simplify right side
    20,943x = 271,262,835.90
  5. Step 5: Solve for x
    x = 271,262,835.90/20,943
  6. Step 6: Final answer
    x = 12,952.43

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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.