Home / 2,646.92-3,974.70-1,109

Finding the Fourth Proportional to 2,646.92, 3,974.70 and 1,109

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Solution

The fourth proportional to 2,646.92, 3,974.70 and 1,109 is: 1,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.92 : 3,974.70 = 1,109 : x
  2. Step 2: Convert to fraction form
    2,646.92/3,974.70 = 1,109/x
  3. Step 3: Cross multiply
    2,646.92x = 3,974.70 × 1,109
  4. Step 4: Simplify right side
    2,646.92x = 4,407,942.30
  5. Step 5: Solve for x
    x = 4,407,942.30/2,646.92
  6. Step 6: Final answer
    x = 1,665.31

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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.