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Finding the Fourth Proportional to 25,489.91, 38,234.85 and 7,961.24

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Solution

The fourth proportional to 25,489.91, 38,234.85 and 7,961.24 is: 11,941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,489.91 : 38,234.85 = 7,961.24 : x
  2. Step 2: Convert to fraction form
    25,489.91/38,234.85 = 7,961.24/x
  3. Step 3: Cross multiply
    25,489.91x = 38,234.85 × 7,961.24
  4. Step 4: Simplify right side
    25,489.91x = 304,396,817.21
  5. Step 5: Solve for x
    x = 304,396,817.21/25,489.91
  6. Step 6: Final answer
    x = 11,941.86

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Similar ratio
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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.