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Finding the Fourth Proportional to 7,997.78, 11,998.62 and 2,451.12

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Solution

The fourth proportional to 7,997.78, 11,998.62 and 2,451.12 is: 3,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.78 : 11,998.62 = 2,451.12 : x
  2. Step 2: Convert to fraction form
    7,997.78/11,998.62 = 2,451.12/x
  3. Step 3: Cross multiply
    7,997.78x = 11,998.62 × 2,451.12
  4. Step 4: Simplify right side
    7,997.78x = 29,410,057.45
  5. Step 5: Solve for x
    x = 29,410,057.45/7,997.78
  6. Step 6: Final answer
    x = 3,677.28

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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.