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Finding the Fourth Proportional to 31,949.04, 47,966.04 and 20,720

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Solution

The fourth proportional to 31,949.04, 47,966.04 and 20,720 is: 31,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,949.04 : 47,966.04 = 20,720 : x
  2. Step 2: Convert to fraction form
    31,949.04/47,966.04 = 20,720/x
  3. Step 3: Cross multiply
    31,949.04x = 47,966.04 × 20,720
  4. Step 4: Simplify right side
    31,949.04x = 993,856,348.80
  5. Step 5: Solve for x
    x = 993,856,348.80/31,949.04
  6. Step 6: Final answer
    x = 31,107.55

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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.