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Finding the Fourth Proportional to 8,277.57, 12,413.72 and 2,729.88

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Solution

The fourth proportional to 8,277.57, 12,413.72 and 2,729.88 is: 4,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.57 : 12,413.72 = 2,729.88 : x
  2. Step 2: Convert to fraction form
    8,277.57/12,413.72 = 2,729.88/x
  3. Step 3: Cross multiply
    8,277.57x = 12,413.72 × 2,729.88
  4. Step 4: Simplify right side
    8,277.57x = 33,887,952.30
  5. Step 5: Solve for x
    x = 33,887,952.30/8,277.57
  6. Step 6: Final answer
    x = 4,093.95

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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.