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Finding the Fourth Proportional to 8,344.54, 12,518.07 and 3,078.73

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Solution

The fourth proportional to 8,344.54, 12,518.07 and 3,078.73 is: 4,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.54 : 12,518.07 = 3,078.73 : x
  2. Step 2: Convert to fraction form
    8,344.54/12,518.07 = 3,078.73/x
  3. Step 3: Cross multiply
    8,344.54x = 12,518.07 × 3,078.73
  4. Step 4: Simplify right side
    8,344.54x = 38,539,757.65
  5. Step 5: Solve for x
    x = 38,539,757.65/8,344.54
  6. Step 6: Final answer
    x = 4,618.56

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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.