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Finding the Fourth Proportional to 11,993.82, 17,998.73 and 4,202.64

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Solution

The fourth proportional to 11,993.82, 17,998.73 and 4,202.64 is: 6,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.82 : 17,998.73 = 4,202.64 : x
  2. Step 2: Convert to fraction form
    11,993.82/17,998.73 = 4,202.64/x
  3. Step 3: Cross multiply
    11,993.82x = 17,998.73 × 4,202.64
  4. Step 4: Simplify right side
    11,993.82x = 75,642,161.63
  5. Step 5: Solve for x
    x = 75,642,161.63/11,993.82
  6. Step 6: Final answer
    x = 6,306.76

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1.5x scale

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.