Home / 2,065.40-3,098.64-1,198.97

Finding the Fourth Proportional to 2,065.40, 3,098.64 and 1,198.97

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Solution

The fourth proportional to 2,065.40, 3,098.64 and 1,198.97 is: 1,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.40 : 3,098.64 = 1,198.97 : x
  2. Step 2: Convert to fraction form
    2,065.40/3,098.64 = 1,198.97/x
  3. Step 3: Cross multiply
    2,065.40x = 3,098.64 × 1,198.97
  4. Step 4: Simplify right side
    2,065.40x = 3,715,170.28
  5. Step 5: Solve for x
    x = 3,715,170.28/2,065.40
  6. Step 6: Final answer
    x = 1,798.77

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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.