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Finding the Fourth Proportional to 8,517.91, 12,768.56 and 4,074.41

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Solution

The fourth proportional to 8,517.91, 12,768.56 and 4,074.41 is: 6,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.91 : 12,768.56 = 4,074.41 : x
  2. Step 2: Convert to fraction form
    8,517.91/12,768.56 = 4,074.41/x
  3. Step 3: Cross multiply
    8,517.91x = 12,768.56 × 4,074.41
  4. Step 4: Simplify right side
    8,517.91x = 52,024,338.36
  5. Step 5: Solve for x
    x = 52,024,338.36/8,517.91
  6. Step 6: Final answer
    x = 6,107.64

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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.