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Finding the Fourth Proportional to 25,809.14, 38,710.07 and 8,276.69

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Solution

The fourth proportional to 25,809.14, 38,710.07 and 8,276.69 is: 12,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809.14 : 38,710.07 = 8,276.69 : x
  2. Step 2: Convert to fraction form
    25,809.14/38,710.07 = 8,276.69/x
  3. Step 3: Cross multiply
    25,809.14x = 38,710.07 × 8,276.69
  4. Step 4: Simplify right side
    25,809.14x = 320,391,335.70
  5. Step 5: Solve for x
    x = 320,391,335.70/25,809.14
  6. Step 6: Final answer
    x = 12,413.87

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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.