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Finding the Fourth Proportional to 3,843.75, 5,766.03 and 1,763.40

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Solution

The fourth proportional to 3,843.75, 5,766.03 and 1,763.40 is: 2,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.75 : 5,766.03 = 1,763.40 : x
  2. Step 2: Convert to fraction form
    3,843.75/5,766.03 = 1,763.40/x
  3. Step 3: Cross multiply
    3,843.75x = 5,766.03 × 1,763.40
  4. Step 4: Simplify right side
    3,843.75x = 10,167,817.30
  5. Step 5: Solve for x
    x = 10,167,817.30/3,843.75
  6. Step 6: Final answer
    x = 2,645.29

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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.