Home / 2,200.28-3,301.70-814.57

Finding the Fourth Proportional to 2,200.28, 3,301.70 and 814.57

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Solution

The fourth proportional to 2,200.28, 3,301.70 and 814.57 is: 1,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.28 : 3,301.70 = 814.57 : x
  2. Step 2: Convert to fraction form
    2,200.28/3,301.70 = 814.57/x
  3. Step 3: Cross multiply
    2,200.28x = 3,301.70 × 814.57
  4. Step 4: Simplify right side
    2,200.28x = 2,689,453.44
  5. Step 5: Solve for x
    x = 2,689,453.44/2,200.28
  6. Step 6: Final answer
    x = 1,222.33

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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.