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Finding the Fourth Proportional to 8,493.57, 12,740.49 and 3,228.66

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Solution

The fourth proportional to 8,493.57, 12,740.49 and 3,228.66 is: 4,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.57 : 12,740.49 = 3,228.66 : x
  2. Step 2: Convert to fraction form
    8,493.57/12,740.49 = 3,228.66/x
  3. Step 3: Cross multiply
    8,493.57x = 12,740.49 × 3,228.66
  4. Step 4: Simplify right side
    8,493.57x = 41,134,710.44
  5. Step 5: Solve for x
    x = 41,134,710.44/8,493.57
  6. Step 6: Final answer
    x = 4,843.04

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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.