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Finding the Fourth Proportional to 3,662.44, 5,490.81 and 1,906.66

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Solution

The fourth proportional to 3,662.44, 5,490.81 and 1,906.66 is: 2,858.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.44 : 5,490.81 = 1,906.66 : x
  2. Step 2: Convert to fraction form
    3,662.44/5,490.81 = 1,906.66/x
  3. Step 3: Cross multiply
    3,662.44x = 5,490.81 × 1,906.66
  4. Step 4: Simplify right side
    3,662.44x = 10,469,107.79
  5. Step 5: Solve for x
    x = 10,469,107.79/3,662.44
  6. Step 6: Final answer
    x = 2,858.51

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1.5x scale

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.