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Finding the Fourth Proportional to 20,899.50, 28,843.10 and 11,469.88

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Solution

The fourth proportional to 20,899.50, 28,843.10 and 11,469.88 is: 15,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,899.50 : 28,843.10 = 11,469.88 : x
  2. Step 2: Convert to fraction form
    20,899.50/28,843.10 = 11,469.88/x
  3. Step 3: Cross multiply
    20,899.50x = 28,843.10 × 11,469.88
  4. Step 4: Simplify right side
    20,899.50x = 330,826,895.83
  5. Step 5: Solve for x
    x = 330,826,895.83/20,899.50
  6. Step 6: Final answer
    x = 15,829.42

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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.