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Finding the Fourth Proportional to 31,778.38, 43,859.38 and 17,635.78

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Solution

The fourth proportional to 31,778.38, 43,859.38 and 17,635.78 is: 24,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.38 : 43,859.38 = 17,635.78 : x
  2. Step 2: Convert to fraction form
    31,778.38/43,859.38 = 17,635.78/x
  3. Step 3: Cross multiply
    31,778.38x = 43,859.38 × 17,635.78
  4. Step 4: Simplify right side
    31,778.38x = 773,494,376.62
  5. Step 5: Solve for x
    x = 773,494,376.62/31,778.38
  6. Step 6: Final answer
    x = 24,340.27

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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.