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Finding the Fourth Proportional to 8,270.52, 12,401.64 and 2,647.44

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Solution

The fourth proportional to 8,270.52, 12,401.64 and 2,647.44 is: 3,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.52 : 12,401.64 = 2,647.44 : x
  2. Step 2: Convert to fraction form
    8,270.52/12,401.64 = 2,647.44/x
  3. Step 3: Cross multiply
    8,270.52x = 12,401.64 × 2,647.44
  4. Step 4: Simplify right side
    8,270.52x = 32,832,597.80
  5. Step 5: Solve for x
    x = 32,832,597.80/8,270.52
  6. Step 6: Final answer
    x = 3,969.83

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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.