Home / 2,142.11-3,213.52-681.61

Finding the Fourth Proportional to 2,142.11, 3,213.52 and 681.61

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Solution

The fourth proportional to 2,142.11, 3,213.52 and 681.61 is: 1,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.11 : 3,213.52 = 681.61 : x
  2. Step 2: Convert to fraction form
    2,142.11/3,213.52 = 681.61/x
  3. Step 3: Cross multiply
    2,142.11x = 3,213.52 × 681.61
  4. Step 4: Simplify right side
    2,142.11x = 2,190,367.37
  5. Step 5: Solve for x
    x = 2,190,367.37/2,142.11
  6. Step 6: Final answer
    x = 1,022.53

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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.