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Finding the Fourth Proportional to 31,912.20, 43,993.20 and 22,451.40

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Solution

The fourth proportional to 31,912.20, 43,993.20 and 22,451.40 is: 30,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912.20 : 43,993.20 = 22,451.40 : x
  2. Step 2: Convert to fraction form
    31,912.20/43,993.20 = 22,451.40/x
  3. Step 3: Cross multiply
    31,912.20x = 43,993.20 × 22,451.40
  4. Step 4: Simplify right side
    31,912.20x = 987,708,930.48
  5. Step 5: Solve for x
    x = 987,708,930.48/31,912.20
  6. Step 6: Final answer
    x = 30,950.83

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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.