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Finding the Fourth Proportional to 2,026.92, 3,040.77 and 640.61

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Solution

The fourth proportional to 2,026.92, 3,040.77 and 640.61 is: 961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.92 : 3,040.77 = 640.61 : x
  2. Step 2: Convert to fraction form
    2,026.92/3,040.77 = 640.61/x
  3. Step 3: Cross multiply
    2,026.92x = 3,040.77 × 640.61
  4. Step 4: Simplify right side
    2,026.92x = 1,947,940.87
  5. Step 5: Solve for x
    x = 1,947,940.87/2,026.92
  6. Step 6: Final answer
    x = 961.03

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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.