Home / 2,201.67-3,301.44-814.29

Finding the Fourth Proportional to 2,201.67, 3,301.44 and 814.29

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Solution

The fourth proportional to 2,201.67, 3,301.44 and 814.29 is: 1,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.67 : 3,301.44 = 814.29 : x
  2. Step 2: Convert to fraction form
    2,201.67/3,301.44 = 814.29/x
  3. Step 3: Cross multiply
    2,201.67x = 3,301.44 × 814.29
  4. Step 4: Simplify right side
    2,201.67x = 2,688,329.58
  5. Step 5: Solve for x
    x = 2,688,329.58/2,201.67
  6. Step 6: Final answer
    x = 1,221.04

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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.