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Finding the Fourth Proportional to 2,141.81, 3,213.17 and 680.75

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Solution

The fourth proportional to 2,141.81, 3,213.17 and 680.75 is: 1,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.81 : 3,213.17 = 680.75 : x
  2. Step 2: Convert to fraction form
    2,141.81/3,213.17 = 680.75/x
  3. Step 3: Cross multiply
    2,141.81x = 3,213.17 × 680.75
  4. Step 4: Simplify right side
    2,141.81x = 2,187,365.48
  5. Step 5: Solve for x
    x = 2,187,365.48/2,141.81
  6. Step 6: Final answer
    x = 1,021.27

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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.