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Finding the Fourth Proportional to 25,677.57, 38,517.45 and 8,147.01

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Solution

The fourth proportional to 25,677.57, 38,517.45 and 8,147.01 is: 12,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,677.57 : 38,517.45 = 8,147.01 : x
  2. Step 2: Convert to fraction form
    25,677.57/38,517.45 = 8,147.01/x
  3. Step 3: Cross multiply
    25,677.57x = 38,517.45 × 8,147.01
  4. Step 4: Simplify right side
    25,677.57x = 313,802,050.32
  5. Step 5: Solve for x
    x = 313,802,050.32/25,677.57
  6. Step 6: Final answer
    x = 12,220.86

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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.