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Finding the Fourth Proportional to 8,182.74, 12,274.90 and 2,634.64

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Solution

The fourth proportional to 8,182.74, 12,274.90 and 2,634.64 is: 3,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.74 : 12,274.90 = 2,634.64 : x
  2. Step 2: Convert to fraction form
    8,182.74/12,274.90 = 2,634.64/x
  3. Step 3: Cross multiply
    8,182.74x = 12,274.90 × 2,634.64
  4. Step 4: Simplify right side
    8,182.74x = 32,339,942.54
  5. Step 5: Solve for x
    x = 32,339,942.54/8,182.74
  6. Step 6: Final answer
    x = 3,952.21

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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.