Home / 2,198.13-3,298-1,158.09

Finding the Fourth Proportional to 2,198.13, 3,298 and 1,158.09

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Solution

The fourth proportional to 2,198.13, 3,298 and 1,158.09 is: 1,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.13 : 3,298 = 1,158.09 : x
  2. Step 2: Convert to fraction form
    2,198.13/3,298 = 1,158.09/x
  3. Step 3: Cross multiply
    2,198.13x = 3,298 × 1,158.09
  4. Step 4: Simplify right side
    2,198.13x = 3,819,380.82
  5. Step 5: Solve for x
    x = 3,819,380.82/2,198.13
  6. Step 6: Final answer
    x = 1,737.56

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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.