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Finding the Fourth Proportional to 8,422.13, 12,635.01 and 3,228

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Solution

The fourth proportional to 8,422.13, 12,635.01 and 3,228 is: 4,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.13 : 12,635.01 = 3,228 : x
  2. Step 2: Convert to fraction form
    8,422.13/12,635.01 = 3,228/x
  3. Step 3: Cross multiply
    8,422.13x = 12,635.01 × 3,228
  4. Step 4: Simplify right side
    8,422.13x = 40,785,812.28
  5. Step 5: Solve for x
    x = 40,785,812.28/8,422.13
  6. Step 6: Final answer
    x = 4,842.70

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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.