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Finding the Fourth Proportional to 3,293.26, 4,942.49 and 1,445.65

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Solution

The fourth proportional to 3,293.26, 4,942.49 and 1,445.65 is: 2,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.26 : 4,942.49 = 1,445.65 : x
  2. Step 2: Convert to fraction form
    3,293.26/4,942.49 = 1,445.65/x
  3. Step 3: Cross multiply
    3,293.26x = 4,942.49 × 1,445.65
  4. Step 4: Simplify right side
    3,293.26x = 7,145,103.44
  5. Step 5: Solve for x
    x = 7,145,103.44/3,293.26
  6. Step 6: Final answer
    x = 2,169.61

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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.