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Finding the Fourth Proportional to 8,200.24, 12,308.73 and 6,002.44

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Solution

The fourth proportional to 8,200.24, 12,308.73 and 6,002.44 is: 9,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.24 : 12,308.73 = 6,002.44 : x
  2. Step 2: Convert to fraction form
    8,200.24/12,308.73 = 6,002.44/x
  3. Step 3: Cross multiply
    8,200.24x = 12,308.73 × 6,002.44
  4. Step 4: Simplify right side
    8,200.24x = 73,882,413.30
  5. Step 5: Solve for x
    x = 73,882,413.30/8,200.24
  6. Step 6: Final answer
    x = 9,009.79

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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.