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Finding the Fourth Proportional to 8,149.78, 12,217.08 and 2,954.44

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Solution

The fourth proportional to 8,149.78, 12,217.08 and 2,954.44 is: 4,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.78 : 12,217.08 = 2,954.44 : x
  2. Step 2: Convert to fraction form
    8,149.78/12,217.08 = 2,954.44/x
  3. Step 3: Cross multiply
    8,149.78x = 12,217.08 × 2,954.44
  4. Step 4: Simplify right side
    8,149.78x = 36,094,629.84
  5. Step 5: Solve for x
    x = 36,094,629.84/8,149.78
  6. Step 6: Final answer
    x = 4,428.91

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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.