Home / 6,815.92-10,224-2,198.92

Finding the Fourth Proportional to 6,815.92, 10,224 and 2,198.92

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Solution

The fourth proportional to 6,815.92, 10,224 and 2,198.92 is: 3,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.92 : 10,224 = 2,198.92 : x
  2. Step 2: Convert to fraction form
    6,815.92/10,224 = 2,198.92/x
  3. Step 3: Cross multiply
    6,815.92x = 10,224 × 2,198.92
  4. Step 4: Simplify right side
    6,815.92x = 22,481,758.08
  5. Step 5: Solve for x
    x = 22,481,758.08/6,815.92
  6. Step 6: Final answer
    x = 3,298.42

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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.