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Finding the Fourth Proportional to 20,149.80, 27,806.08 and 11,197.08

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Solution

The fourth proportional to 20,149.80, 27,806.08 and 11,197.08 is: 15,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.80 : 27,806.08 = 11,197.08 : x
  2. Step 2: Convert to fraction form
    20,149.80/27,806.08 = 11,197.08/x
  3. Step 3: Cross multiply
    20,149.80x = 27,806.08 × 11,197.08
  4. Step 4: Simplify right side
    20,149.80x = 311,346,902.25
  5. Step 5: Solve for x
    x = 311,346,902.25/20,149.80
  6. Step 6: Final answer
    x = 15,451.61

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1.5x scale

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.