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Finding the Fourth Proportional to 8,194.78, 12,281.18 and 7,669.90

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Solution

The fourth proportional to 8,194.78, 12,281.18 and 7,669.90 is: 11,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.78 : 12,281.18 = 7,669.90 : x
  2. Step 2: Convert to fraction form
    8,194.78/12,281.18 = 7,669.90/x
  3. Step 3: Cross multiply
    8,194.78x = 12,281.18 × 7,669.90
  4. Step 4: Simplify right side
    8,194.78x = 94,195,422.48
  5. Step 5: Solve for x
    x = 94,195,422.48/8,194.78
  6. Step 6: Final answer
    x = 11,494.56

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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.