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Finding the Fourth Proportional to 8,201.72, 12,301.86 and 4,252.80

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Solution

The fourth proportional to 8,201.72, 12,301.86 and 4,252.80 is: 6,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.72 : 12,301.86 = 4,252.80 : x
  2. Step 2: Convert to fraction form
    8,201.72/12,301.86 = 4,252.80/x
  3. Step 3: Cross multiply
    8,201.72x = 12,301.86 × 4,252.80
  4. Step 4: Simplify right side
    8,201.72x = 52,317,350.21
  5. Step 5: Solve for x
    x = 52,317,350.21/8,201.72
  6. Step 6: Final answer
    x = 6,378.83

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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.