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Finding the Fourth Proportional to 11,229, 16,843.43 and 2,909

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Solution

The fourth proportional to 11,229, 16,843.43 and 2,909 is: 4,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229 : 16,843.43 = 2,909 : x
  2. Step 2: Convert to fraction form
    11,229/16,843.43 = 2,909/x
  3. Step 3: Cross multiply
    11,229x = 16,843.43 × 2,909
  4. Step 4: Simplify right side
    11,229x = 48,997,537.87
  5. Step 5: Solve for x
    x = 48,997,537.87/11,229
  6. Step 6: Final answer
    x = 4,363.48

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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.