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Finding the Fourth Proportional to 25,757.52, 38,635.56 and 8,228.40

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Solution

The fourth proportional to 25,757.52, 38,635.56 and 8,228.40 is: 12,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,757.52 : 38,635.56 = 8,228.40 : x
  2. Step 2: Convert to fraction form
    25,757.52/38,635.56 = 8,228.40/x
  3. Step 3: Cross multiply
    25,757.52x = 38,635.56 × 8,228.40
  4. Step 4: Simplify right side
    25,757.52x = 317,908,841.90
  5. Step 5: Solve for x
    x = 317,908,841.90/25,757.52
  6. Step 6: Final answer
    x = 12,342.37

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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.