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Finding the Fourth Proportional to 1,997.14, 2,991.09 and 1,927.94

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Solution

The fourth proportional to 1,997.14, 2,991.09 and 1,927.94 is: 2,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.14 : 2,991.09 = 1,927.94 : x
  2. Step 2: Convert to fraction form
    1,997.14/2,991.09 = 1,927.94/x
  3. Step 3: Cross multiply
    1,997.14x = 2,991.09 × 1,927.94
  4. Step 4: Simplify right side
    1,997.14x = 5,766,642.05
  5. Step 5: Solve for x
    x = 5,766,642.05/1,997.14
  6. Step 6: Final answer
    x = 2,887.45

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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.