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Finding the Fourth Proportional to 2,633.92, 3,950.57 and 686.27

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Solution

The fourth proportional to 2,633.92, 3,950.57 and 686.27 is: 1,029.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.92 : 3,950.57 = 686.27 : x
  2. Step 2: Convert to fraction form
    2,633.92/3,950.57 = 686.27/x
  3. Step 3: Cross multiply
    2,633.92x = 3,950.57 × 686.27
  4. Step 4: Simplify right side
    2,633.92x = 2,711,169.27
  5. Step 5: Solve for x
    x = 2,711,169.27/2,633.92
  6. Step 6: Final answer
    x = 1,029.33

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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.