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Finding the Fourth Proportional to 3,959.27, 5,933.66 and 2,106.39

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Solution

The fourth proportional to 3,959.27, 5,933.66 and 2,106.39 is: 3,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.27 : 5,933.66 = 2,106.39 : x
  2. Step 2: Convert to fraction form
    3,959.27/5,933.66 = 2,106.39/x
  3. Step 3: Cross multiply
    3,959.27x = 5,933.66 × 2,106.39
  4. Step 4: Simplify right side
    3,959.27x = 12,498,602.09
  5. Step 5: Solve for x
    x = 12,498,602.09/3,959.27
  6. Step 6: Final answer
    x = 3,156.79

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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.