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Finding the Fourth Proportional to 8,201.97, 12,302.18 and 3,270.29

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Solution

The fourth proportional to 8,201.97, 12,302.18 and 3,270.29 is: 4,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.97 : 12,302.18 = 3,270.29 : x
  2. Step 2: Convert to fraction form
    8,201.97/12,302.18 = 3,270.29/x
  3. Step 3: Cross multiply
    8,201.97x = 12,302.18 × 3,270.29
  4. Step 4: Simplify right side
    8,201.97x = 40,231,679.88
  5. Step 5: Solve for x
    x = 40,231,679.88/8,201.97
  6. Step 6: Final answer
    x = 4,905.12

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1.5x scale

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.