Home / 1,228.38-1,834.05-1,105.53

Finding the Fourth Proportional to 1,228.38, 1,834.05 and 1,105.53

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Solution

The fourth proportional to 1,228.38, 1,834.05 and 1,105.53 is: 1,650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.38 : 1,834.05 = 1,105.53 : x
  2. Step 2: Convert to fraction form
    1,228.38/1,834.05 = 1,105.53/x
  3. Step 3: Cross multiply
    1,228.38x = 1,834.05 × 1,105.53
  4. Step 4: Simplify right side
    1,228.38x = 2,027,597.30
  5. Step 5: Solve for x
    x = 2,027,597.30/1,228.38
  6. Step 6: Final answer
    x = 1,650.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.