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Finding the Fourth Proportional to 8,043.78, 12,067.30 and 2,853.30

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Solution

The fourth proportional to 8,043.78, 12,067.30 and 2,853.30 is: 4,280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043.78 : 12,067.30 = 2,853.30 : x
  2. Step 2: Convert to fraction form
    8,043.78/12,067.30 = 2,853.30/x
  3. Step 3: Cross multiply
    8,043.78x = 12,067.30 × 2,853.30
  4. Step 4: Simplify right side
    8,043.78x = 34,431,627.09
  5. Step 5: Solve for x
    x = 34,431,627.09/8,043.78
  6. Step 6: Final answer
    x = 4,280.53

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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.