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Finding the Fourth Proportional to 3,869.37, 5,801.09 and 1,920.06

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Solution

The fourth proportional to 3,869.37, 5,801.09 and 1,920.06 is: 2,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.37 : 5,801.09 = 1,920.06 : x
  2. Step 2: Convert to fraction form
    3,869.37/5,801.09 = 1,920.06/x
  3. Step 3: Cross multiply
    3,869.37x = 5,801.09 × 1,920.06
  4. Step 4: Simplify right side
    3,869.37x = 11,138,431.27
  5. Step 5: Solve for x
    x = 11,138,431.27/3,869.37
  6. Step 6: Final answer
    x = 2,878.62

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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.