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Finding the Fourth Proportional to 1,906.92, 2,631.24 and 1,067.64

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Solution

The fourth proportional to 1,906.92, 2,631.24 and 1,067.64 is: 1,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.92 : 2,631.24 = 1,067.64 : x
  2. Step 2: Convert to fraction form
    1,906.92/2,631.24 = 1,067.64/x
  3. Step 3: Cross multiply
    1,906.92x = 2,631.24 × 1,067.64
  4. Step 4: Simplify right side
    1,906.92x = 2,809,217.07
  5. Step 5: Solve for x
    x = 2,809,217.07/1,906.92
  6. Step 6: Final answer
    x = 1,473.17

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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.