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Finding the Fourth Proportional to 8,135.92, 12,204.80 and 3,204.92

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Solution

The fourth proportional to 8,135.92, 12,204.80 and 3,204.92 is: 4,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.92 : 12,204.80 = 3,204.92 : x
  2. Step 2: Convert to fraction form
    8,135.92/12,204.80 = 3,204.92/x
  3. Step 3: Cross multiply
    8,135.92x = 12,204.80 × 3,204.92
  4. Step 4: Simplify right side
    8,135.92x = 39,115,407.62
  5. Step 5: Solve for x
    x = 39,115,407.62/8,135.92
  6. Step 6: Final answer
    x = 4,807.74

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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.