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Finding the Fourth Proportional to 7,922.03, 11,882.16 and 1,998.90

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Solution

The fourth proportional to 7,922.03, 11,882.16 and 1,998.90 is: 2,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.03 : 11,882.16 = 1,998.90 : x
  2. Step 2: Convert to fraction form
    7,922.03/11,882.16 = 1,998.90/x
  3. Step 3: Cross multiply
    7,922.03x = 11,882.16 × 1,998.90
  4. Step 4: Simplify right side
    7,922.03x = 23,751,249.62
  5. Step 5: Solve for x
    x = 23,751,249.62/7,922.03
  6. Step 6: Final answer
    x = 2,998.13

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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.