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Finding the Fourth Proportional to 8,632.44, 12,949.92 and 2,789.64

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Solution

The fourth proportional to 8,632.44, 12,949.92 and 2,789.64 is: 4,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.44 : 12,949.92 = 2,789.64 : x
  2. Step 2: Convert to fraction form
    8,632.44/12,949.92 = 2,789.64/x
  3. Step 3: Cross multiply
    8,632.44x = 12,949.92 × 2,789.64
  4. Step 4: Simplify right side
    8,632.44x = 36,125,614.83
  5. Step 5: Solve for x
    x = 36,125,614.83/8,632.44
  6. Step 6: Final answer
    x = 4,184.87

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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.