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Finding the Fourth Proportional to 8,046.67, 12,067.70 and 2,780.30

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Solution

The fourth proportional to 8,046.67, 12,067.70 and 2,780.30 is: 4,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.67 : 12,067.70 = 2,780.30 : x
  2. Step 2: Convert to fraction form
    8,046.67/12,067.70 = 2,780.30/x
  3. Step 3: Cross multiply
    8,046.67x = 12,067.70 × 2,780.30
  4. Step 4: Simplify right side
    8,046.67x = 33,551,858.22
  5. Step 5: Solve for x
    x = 33,551,858.22/8,046.67
  6. Step 6: Final answer
    x = 4,169.66

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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.