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Finding the Fourth Proportional to 1,997.07, 2,992.19 and 1,073.09

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Solution

The fourth proportional to 1,997.07, 2,992.19 and 1,073.09 is: 1,607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.07 : 2,992.19 = 1,073.09 : x
  2. Step 2: Convert to fraction form
    1,997.07/2,992.19 = 1,073.09/x
  3. Step 3: Cross multiply
    1,997.07x = 2,992.19 × 1,073.09
  4. Step 4: Simplify right side
    1,997.07x = 3,210,868.84
  5. Step 5: Solve for x
    x = 3,210,868.84/1,997.07
  6. Step 6: Final answer
    x = 1,607.79

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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.