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Finding the Fourth Proportional to 3,881.82, 5,817.76 and 1,906.97

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Solution

The fourth proportional to 3,881.82, 5,817.76 and 1,906.97 is: 2,858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.82 : 5,817.76 = 1,906.97 : x
  2. Step 2: Convert to fraction form
    3,881.82/5,817.76 = 1,906.97/x
  3. Step 3: Cross multiply
    3,881.82x = 5,817.76 × 1,906.97
  4. Step 4: Simplify right side
    3,881.82x = 11,094,303.56
  5. Step 5: Solve for x
    x = 11,094,303.56/3,881.82
  6. Step 6: Final answer
    x = 2,858.02

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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.