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Finding the Fourth Proportional to 3,891.78, 5,834.97 and 1,917.81

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Solution

The fourth proportional to 3,891.78, 5,834.97 and 1,917.81 is: 2,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.78 : 5,834.97 = 1,917.81 : x
  2. Step 2: Convert to fraction form
    3,891.78/5,834.97 = 1,917.81/x
  3. Step 3: Cross multiply
    3,891.78x = 5,834.97 × 1,917.81
  4. Step 4: Simplify right side
    3,891.78x = 11,190,363.82
  5. Step 5: Solve for x
    x = 11,190,363.82/3,891.78
  6. Step 6: Final answer
    x = 2,875.38

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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.