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Finding the Fourth Proportional to 3,768.72, 5,201.90 and 2,276.73

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Solution

The fourth proportional to 3,768.72, 5,201.90 and 2,276.73 is: 3,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.72 : 5,201.90 = 2,276.73 : x
  2. Step 2: Convert to fraction form
    3,768.72/5,201.90 = 2,276.73/x
  3. Step 3: Cross multiply
    3,768.72x = 5,201.90 × 2,276.73
  4. Step 4: Simplify right side
    3,768.72x = 11,843,318.94
  5. Step 5: Solve for x
    x = 11,843,318.94/3,768.72
  6. Step 6: Final answer
    x = 3,142.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.