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Finding the Fourth Proportional to 3,858.47, 5,787.71 and 2,216.06

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Solution

The fourth proportional to 3,858.47, 5,787.71 and 2,216.06 is: 3,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.47 : 5,787.71 = 2,216.06 : x
  2. Step 2: Convert to fraction form
    3,858.47/5,787.71 = 2,216.06/x
  3. Step 3: Cross multiply
    3,858.47x = 5,787.71 × 2,216.06
  4. Step 4: Simplify right side
    3,858.47x = 12,825,912.62
  5. Step 5: Solve for x
    x = 12,825,912.62/3,858.47
  6. Step 6: Final answer
    x = 3,324.09

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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.