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Finding the Fourth Proportional to 6,800, 10,198.56 and 5,508.80

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Solution

The fourth proportional to 6,800, 10,198.56 and 5,508.80 is: 8,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800 : 10,198.56 = 5,508.80 : x
  2. Step 2: Convert to fraction form
    6,800/10,198.56 = 5,508.80/x
  3. Step 3: Cross multiply
    6,800x = 10,198.56 × 5,508.80
  4. Step 4: Simplify right side
    6,800x = 56,181,827.33
  5. Step 5: Solve for x
    x = 56,181,827.33/6,800
  6. Step 6: Final answer
    x = 8,262.03

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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.