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Finding the Fourth Proportional to 3,818.94, 5,717.34 and 1,965.66

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Solution

The fourth proportional to 3,818.94, 5,717.34 and 1,965.66 is: 2,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.94 : 5,717.34 = 1,965.66 : x
  2. Step 2: Convert to fraction form
    3,818.94/5,717.34 = 1,965.66/x
  3. Step 3: Cross multiply
    3,818.94x = 5,717.34 × 1,965.66
  4. Step 4: Simplify right side
    3,818.94x = 11,238,346.54
  5. Step 5: Solve for x
    x = 11,238,346.54/3,818.94
  6. Step 6: Final answer
    x = 2,942.79

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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.