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Finding the Fourth Proportional to 7,998, 11,997.99 and 2,733.54

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Solution

The fourth proportional to 7,998, 11,997.99 and 2,733.54 is: 4,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998 : 11,997.99 = 2,733.54 : x
  2. Step 2: Convert to fraction form
    7,998/11,997.99 = 2,733.54/x
  3. Step 3: Cross multiply
    7,998x = 11,997.99 × 2,733.54
  4. Step 4: Simplify right side
    7,998x = 32,796,985.58
  5. Step 5: Solve for x
    x = 32,796,985.58/7,998
  6. Step 6: Final answer
    x = 4,100.65

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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.