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Finding the Fourth Proportional to 8,554, 12,832.44 and 3,288.88

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Solution

The fourth proportional to 8,554, 12,832.44 and 3,288.88 is: 4,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554 : 12,832.44 = 3,288.88 : x
  2. Step 2: Convert to fraction form
    8,554/12,832.44 = 3,288.88/x
  3. Step 3: Cross multiply
    8,554x = 12,832.44 × 3,288.88
  4. Step 4: Simplify right side
    8,554x = 42,204,355.27
  5. Step 5: Solve for x
    x = 42,204,355.27/8,554
  6. Step 6: Final answer
    x = 4,933.87

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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.