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Finding the Fourth Proportional to 31,481.80, 43,422.42 and 20,293

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Solution

The fourth proportional to 31,481.80, 43,422.42 and 20,293 is: 27,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,481.80 : 43,422.42 = 20,293 : x
  2. Step 2: Convert to fraction form
    31,481.80/43,422.42 = 20,293/x
  3. Step 3: Cross multiply
    31,481.80x = 43,422.42 × 20,293
  4. Step 4: Simplify right side
    31,481.80x = 881,171,169.06
  5. Step 5: Solve for x
    x = 881,171,169.06/31,481.80
  6. Step 6: Final answer
    x = 27,989.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.