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Finding the Fourth Proportional to 8,209.76, 12,306.04 and 3,823.60

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Solution

The fourth proportional to 8,209.76, 12,306.04 and 3,823.60 is: 5,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.76 : 12,306.04 = 3,823.60 : x
  2. Step 2: Convert to fraction form
    8,209.76/12,306.04 = 3,823.60/x
  3. Step 3: Cross multiply
    8,209.76x = 12,306.04 × 3,823.60
  4. Step 4: Simplify right side
    8,209.76x = 47,053,374.54
  5. Step 5: Solve for x
    x = 47,053,374.54/8,209.76
  6. Step 6: Final answer
    x = 5,731.39

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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.