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Finding the Fourth Proportional to 8,134.39, 12,194.18 and 3,202.88

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Solution

The fourth proportional to 8,134.39, 12,194.18 and 3,202.88 is: 4,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.39 : 12,194.18 = 3,202.88 : x
  2. Step 2: Convert to fraction form
    8,134.39/12,194.18 = 3,202.88/x
  3. Step 3: Cross multiply
    8,134.39x = 12,194.18 × 3,202.88
  4. Step 4: Simplify right side
    8,134.39x = 39,056,430.26
  5. Step 5: Solve for x
    x = 39,056,430.26/8,134.39
  6. Step 6: Final answer
    x = 4,801.40

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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.