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Finding the Fourth Proportional to 1,974.11, 2,961.16 and 1,109.03

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Solution

The fourth proportional to 1,974.11, 2,961.16 and 1,109.03 is: 1,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.11 : 2,961.16 = 1,109.03 : x
  2. Step 2: Convert to fraction form
    1,974.11/2,961.16 = 1,109.03/x
  3. Step 3: Cross multiply
    1,974.11x = 2,961.16 × 1,109.03
  4. Step 4: Simplify right side
    1,974.11x = 3,283,997.70
  5. Step 5: Solve for x
    x = 3,283,997.70/1,974.11
  6. Step 6: Final answer
    x = 1,663.54

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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.