Home / 2,198.58-3,305.78-2,009.85

Finding the Fourth Proportional to 2,198.58, 3,305.78 and 2,009.85

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Solution

The fourth proportional to 2,198.58, 3,305.78 and 2,009.85 is: 3,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.58 : 3,305.78 = 2,009.85 : x
  2. Step 2: Convert to fraction form
    2,198.58/3,305.78 = 2,009.85/x
  3. Step 3: Cross multiply
    2,198.58x = 3,305.78 × 2,009.85
  4. Step 4: Simplify right side
    2,198.58x = 6,644,107.02
  5. Step 5: Solve for x
    x = 6,644,107.02/2,198.58
  6. Step 6: Final answer
    x = 3,022.00

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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.