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Finding the Fourth Proportional to 2,107.94, 3,163.34 and 809.42

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Solution

The fourth proportional to 2,107.94, 3,163.34 and 809.42 is: 1,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.94 : 3,163.34 = 809.42 : x
  2. Step 2: Convert to fraction form
    2,107.94/3,163.34 = 809.42/x
  3. Step 3: Cross multiply
    2,107.94x = 3,163.34 × 809.42
  4. Step 4: Simplify right side
    2,107.94x = 2,560,456.87
  5. Step 5: Solve for x
    x = 2,560,456.87/2,107.94
  6. Step 6: Final answer
    x = 1,214.68

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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.