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Finding the Fourth Proportional to 3,809.80, 5,721 and 3,198.52

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Solution

The fourth proportional to 3,809.80, 5,721 and 3,198.52 is: 4,803.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.80 : 5,721 = 3,198.52 : x
  2. Step 2: Convert to fraction form
    3,809.80/5,721 = 3,198.52/x
  3. Step 3: Cross multiply
    3,809.80x = 5,721 × 3,198.52
  4. Step 4: Simplify right side
    3,809.80x = 18,298,732.92
  5. Step 5: Solve for x
    x = 18,298,732.92/3,809.80
  6. Step 6: Final answer
    x = 4,803.07

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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.