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Finding the Fourth Proportional to 3,761.81, 5,645.96 and 1,815.65

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Solution

The fourth proportional to 3,761.81, 5,645.96 and 1,815.65 is: 2,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.81 : 5,645.96 = 1,815.65 : x
  2. Step 2: Convert to fraction form
    3,761.81/5,645.96 = 1,815.65/x
  3. Step 3: Cross multiply
    3,761.81x = 5,645.96 × 1,815.65
  4. Step 4: Simplify right side
    3,761.81x = 10,251,087.27
  5. Step 5: Solve for x
    x = 10,251,087.27/3,761.81
  6. Step 6: Final answer
    x = 2,725.04

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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.