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Finding the Fourth Proportional to 20,434, 28,198.94 and 11,481.49

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Solution

The fourth proportional to 20,434, 28,198.94 and 11,481.49 is: 15,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434 : 28,198.94 = 11,481.49 : x
  2. Step 2: Convert to fraction form
    20,434/28,198.94 = 11,481.49/x
  3. Step 3: Cross multiply
    20,434x = 28,198.94 × 11,481.49
  4. Step 4: Simplify right side
    20,434x = 323,765,847.62
  5. Step 5: Solve for x
    x = 323,765,847.62/20,434
  6. Step 6: Final answer
    x = 15,844.47

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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.