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Finding the Fourth Proportional to 2,110.97, 3,166.34 and 649.94

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Solution

The fourth proportional to 2,110.97, 3,166.34 and 649.94 is: 974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.97 : 3,166.34 = 649.94 : x
  2. Step 2: Convert to fraction form
    2,110.97/3,166.34 = 649.94/x
  3. Step 3: Cross multiply
    2,110.97x = 3,166.34 × 649.94
  4. Step 4: Simplify right side
    2,110.97x = 2,057,911.94
  5. Step 5: Solve for x
    x = 2,057,911.94/2,110.97
  6. Step 6: Final answer
    x = 974.87

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1.5x scale

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.