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Finding the Fourth Proportional to 2,786.54, 4,180.45 and 937.61

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Solution

The fourth proportional to 2,786.54, 4,180.45 and 937.61 is: 1,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.54 : 4,180.45 = 937.61 : x
  2. Step 2: Convert to fraction form
    2,786.54/4,180.45 = 937.61/x
  3. Step 3: Cross multiply
    2,786.54x = 4,180.45 × 937.61
  4. Step 4: Simplify right side
    2,786.54x = 3,919,619.73
  5. Step 5: Solve for x
    x = 3,919,619.73/2,786.54
  6. Step 6: Final answer
    x = 1,406.63

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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.