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Finding the Fourth Proportional to 25,765.97, 38,652.59 and 8,231.69

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Solution

The fourth proportional to 25,765.97, 38,652.59 and 8,231.69 is: 12,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765.97 : 38,652.59 = 8,231.69 : x
  2. Step 2: Convert to fraction form
    25,765.97/38,652.59 = 8,231.69/x
  3. Step 3: Cross multiply
    25,765.97x = 38,652.59 × 8,231.69
  4. Step 4: Simplify right side
    25,765.97x = 318,176,255.79
  5. Step 5: Solve for x
    x = 318,176,255.79/25,765.97
  6. Step 6: Final answer
    x = 12,348.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.