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Finding the Fourth Proportional to 3,887.82, 5,834.09 and 1,579.26

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Solution

The fourth proportional to 3,887.82, 5,834.09 and 1,579.26 is: 2,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.82 : 5,834.09 = 1,579.26 : x
  2. Step 2: Convert to fraction form
    3,887.82/5,834.09 = 1,579.26/x
  3. Step 3: Cross multiply
    3,887.82x = 5,834.09 × 1,579.26
  4. Step 4: Simplify right side
    3,887.82x = 9,213,544.97
  5. Step 5: Solve for x
    x = 9,213,544.97/3,887.82
  6. Step 6: Final answer
    x = 2,369.85

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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.