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Finding the Fourth Proportional to 21,229.29, 31,839.89 and 8,082.99

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Solution

The fourth proportional to 21,229.29, 31,839.89 and 8,082.99 is: 12,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229.29 : 31,839.89 = 8,082.99 : x
  2. Step 2: Convert to fraction form
    21,229.29/31,839.89 = 8,082.99/x
  3. Step 3: Cross multiply
    21,229.29x = 31,839.89 × 8,082.99
  4. Step 4: Simplify right side
    21,229.29x = 257,361,472.06
  5. Step 5: Solve for x
    x = 257,361,472.06/21,229.29
  6. Step 6: Final answer
    x = 12,122.94

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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.