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Finding the Fourth Proportional to 2,201.74, 3,301.71 and 815.17

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Solution

The fourth proportional to 2,201.74, 3,301.71 and 815.17 is: 1,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.74 : 3,301.71 = 815.17 : x
  2. Step 2: Convert to fraction form
    2,201.74/3,301.71 = 815.17/x
  3. Step 3: Cross multiply
    2,201.74x = 3,301.71 × 815.17
  4. Step 4: Simplify right side
    2,201.74x = 2,691,454.94
  5. Step 5: Solve for x
    x = 2,691,454.94/2,201.74
  6. Step 6: Final answer
    x = 1,222.42

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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.