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Finding the Fourth Proportional to 3,858.38, 5,787.85 and 1,910.06

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Solution

The fourth proportional to 3,858.38, 5,787.85 and 1,910.06 is: 2,865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.38 : 5,787.85 = 1,910.06 : x
  2. Step 2: Convert to fraction form
    3,858.38/5,787.85 = 1,910.06/x
  3. Step 3: Cross multiply
    3,858.38x = 5,787.85 × 1,910.06
  4. Step 4: Simplify right side
    3,858.38x = 11,055,150.47
  5. Step 5: Solve for x
    x = 11,055,150.47/3,858.38
  6. Step 6: Final answer
    x = 2,865.23

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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.