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Finding the Fourth Proportional to 20,721, 31,082.24 and 6,869.64

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Solution

The fourth proportional to 20,721, 31,082.24 and 6,869.64 is: 10,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,721 : 31,082.24 = 6,869.64 : x
  2. Step 2: Convert to fraction form
    20,721/31,082.24 = 6,869.64/x
  3. Step 3: Cross multiply
    20,721x = 31,082.24 × 6,869.64
  4. Step 4: Simplify right side
    20,721x = 213,523,799.19
  5. Step 5: Solve for x
    x = 213,523,799.19/20,721
  6. Step 6: Final answer
    x = 10,304.71

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1.5x scale

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.