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Finding the Fourth Proportional to 3,778.50, 5,662.28 and 2,131.57

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Solution

The fourth proportional to 3,778.50, 5,662.28 and 2,131.57 is: 3,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.50 : 5,662.28 = 2,131.57 : x
  2. Step 2: Convert to fraction form
    3,778.50/5,662.28 = 2,131.57/x
  3. Step 3: Cross multiply
    3,778.50x = 5,662.28 × 2,131.57
  4. Step 4: Simplify right side
    3,778.50x = 12,069,520.74
  5. Step 5: Solve for x
    x = 12,069,520.74/3,778.50
  6. Step 6: Final answer
    x = 3,194.26

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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.