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Finding the Fourth Proportional to 7,997.82, 11,997.48 and 2,998.86

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Solution

The fourth proportional to 7,997.82, 11,997.48 and 2,998.86 is: 4,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.82 : 11,997.48 = 2,998.86 : x
  2. Step 2: Convert to fraction form
    7,997.82/11,997.48 = 2,998.86/x
  3. Step 3: Cross multiply
    7,997.82x = 11,997.48 × 2,998.86
  4. Step 4: Simplify right side
    7,997.82x = 35,978,762.87
  5. Step 5: Solve for x
    x = 35,978,762.87/7,997.82
  6. Step 6: Final answer
    x = 4,498.57

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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.