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Finding the Fourth Proportional to 8,013.78, 12,015 and 3,079.26

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Solution

The fourth proportional to 8,013.78, 12,015 and 3,079.26 is: 4,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.78 : 12,015 = 3,079.26 : x
  2. Step 2: Convert to fraction form
    8,013.78/12,015 = 3,079.26/x
  3. Step 3: Cross multiply
    8,013.78x = 12,015 × 3,079.26
  4. Step 4: Simplify right side
    8,013.78x = 36,997,308.90
  5. Step 5: Solve for x
    x = 36,997,308.90/8,013.78
  6. Step 6: Final answer
    x = 4,616.71

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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.