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Finding the Fourth Proportional to 31,589.76, 43,565.76 and 20,400

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Solution

The fourth proportional to 31,589.76, 43,565.76 and 20,400 is: 28,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,589.76 : 43,565.76 = 20,400 : x
  2. Step 2: Convert to fraction form
    31,589.76/43,565.76 = 20,400/x
  3. Step 3: Cross multiply
    31,589.76x = 43,565.76 × 20,400
  4. Step 4: Simplify right side
    31,589.76x = 888,741,504
  5. Step 5: Solve for x
    x = 888,741,504/31,589.76
  6. Step 6: Final answer
    x = 28,133.85

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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.