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Finding the Fourth Proportional to 31,997.88, 48,006.96 and 13,286.88

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Solution

The fourth proportional to 31,997.88, 48,006.96 and 13,286.88 is: 19,934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997.88 : 48,006.96 = 13,286.88 : x
  2. Step 2: Convert to fraction form
    31,997.88/48,006.96 = 13,286.88/x
  3. Step 3: Cross multiply
    31,997.88x = 48,006.96 × 13,286.88
  4. Step 4: Simplify right side
    31,997.88x = 637,862,716.68
  5. Step 5: Solve for x
    x = 637,862,716.68/31,997.88
  6. Step 6: Final answer
    x = 19,934.53

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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.