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Finding the Fourth Proportional to 2,201.93, 3,302.96 and 815.61

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Solution

The fourth proportional to 2,201.93, 3,302.96 and 815.61 is: 1,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.93 : 3,302.96 = 815.61 : x
  2. Step 2: Convert to fraction form
    2,201.93/3,302.96 = 815.61/x
  3. Step 3: Cross multiply
    2,201.93x = 3,302.96 × 815.61
  4. Step 4: Simplify right side
    2,201.93x = 2,693,923.13
  5. Step 5: Solve for x
    x = 2,693,923.13/2,201.93
  6. Step 6: Final answer
    x = 1,223.44

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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.