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Finding the Fourth Proportional to 8,121.76, 12,179.02 and 3,187.60

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Solution

The fourth proportional to 8,121.76, 12,179.02 and 3,187.60 is: 4,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.76 : 12,179.02 = 3,187.60 : x
  2. Step 2: Convert to fraction form
    8,121.76/12,179.02 = 3,187.60/x
  3. Step 3: Cross multiply
    8,121.76x = 12,179.02 × 3,187.60
  4. Step 4: Simplify right side
    8,121.76x = 38,821,844.15
  5. Step 5: Solve for x
    x = 38,821,844.15/8,121.76
  6. Step 6: Final answer
    x = 4,779.98

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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.