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Finding the Fourth Proportional to 2,109, 2,912.04 and 1,642.44

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Solution

The fourth proportional to 2,109, 2,912.04 and 1,642.44 is: 2,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109 : 2,912.04 = 1,642.44 : x
  2. Step 2: Convert to fraction form
    2,109/2,912.04 = 1,642.44/x
  3. Step 3: Cross multiply
    2,109x = 2,912.04 × 1,642.44
  4. Step 4: Simplify right side
    2,109x = 4,782,850.98
  5. Step 5: Solve for x
    x = 4,782,850.98/2,109
  6. Step 6: Final answer
    x = 2,267.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.