Home / 2,201.56-3,301.24-814.84

Finding the Fourth Proportional to 2,201.56, 3,301.24 and 814.84

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Solution

The fourth proportional to 2,201.56, 3,301.24 and 814.84 is: 1,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.56 : 3,301.24 = 814.84 : x
  2. Step 2: Convert to fraction form
    2,201.56/3,301.24 = 814.84/x
  3. Step 3: Cross multiply
    2,201.56x = 3,301.24 × 814.84
  4. Step 4: Simplify right side
    2,201.56x = 2,689,982.40
  5. Step 5: Solve for x
    x = 2,689,982.40/2,201.56
  6. Step 6: Final answer
    x = 1,221.85

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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.