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Finding the Fourth Proportional to 25,765.75, 38,651.05 and 8,231.41

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Solution

The fourth proportional to 25,765.75, 38,651.05 and 8,231.41 is: 12,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765.75 : 38,651.05 = 8,231.41 : x
  2. Step 2: Convert to fraction form
    25,765.75/38,651.05 = 8,231.41/x
  3. Step 3: Cross multiply
    25,765.75x = 38,651.05 × 8,231.41
  4. Step 4: Simplify right side
    25,765.75x = 318,152,446.23
  5. Step 5: Solve for x
    x = 318,152,446.23/25,765.75
  6. Step 6: Final answer
    x = 12,347.88

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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.