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Finding the Fourth Proportional to 3,891.39, 5,838.21 and 1,917.61

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Solution

The fourth proportional to 3,891.39, 5,838.21 and 1,917.61 is: 2,876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.39 : 5,838.21 = 1,917.61 : x
  2. Step 2: Convert to fraction form
    3,891.39/5,838.21 = 1,917.61/x
  3. Step 3: Cross multiply
    3,891.39x = 5,838.21 × 1,917.61
  4. Step 4: Simplify right side
    3,891.39x = 11,195,415.87
  5. Step 5: Solve for x
    x = 11,195,415.87/3,891.39
  6. Step 6: Final answer
    x = 2,876.97

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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.