Home / 2,198.50-3,033.85-1,203.76

Finding the Fourth Proportional to 2,198.50, 3,033.85 and 1,203.76

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Solution

The fourth proportional to 2,198.50, 3,033.85 and 1,203.76 is: 1,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.50 : 3,033.85 = 1,203.76 : x
  2. Step 2: Convert to fraction form
    2,198.50/3,033.85 = 1,203.76/x
  3. Step 3: Cross multiply
    2,198.50x = 3,033.85 × 1,203.76
  4. Step 4: Simplify right side
    2,198.50x = 3,652,027.28
  5. Step 5: Solve for x
    x = 3,652,027.28/2,198.50
  6. Step 6: Final answer
    x = 1,661.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.