Home / 2,110.82-3,166.27-649.97

Finding the Fourth Proportional to 2,110.82, 3,166.27 and 649.97

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Solution

The fourth proportional to 2,110.82, 3,166.27 and 649.97 is: 974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.82 : 3,166.27 = 649.97 : x
  2. Step 2: Convert to fraction form
    2,110.82/3,166.27 = 649.97/x
  3. Step 3: Cross multiply
    2,110.82x = 3,166.27 × 649.97
  4. Step 4: Simplify right side
    2,110.82x = 2,057,976.76
  5. Step 5: Solve for x
    x = 2,057,976.76/2,110.82
  6. Step 6: Final answer
    x = 974.97

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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.