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Finding the Fourth Proportional to 2,660.50, 3,991.39 and 836.50

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Solution

The fourth proportional to 2,660.50, 3,991.39 and 836.50 is: 1,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.50 : 3,991.39 = 836.50 : x
  2. Step 2: Convert to fraction form
    2,660.50/3,991.39 = 836.50/x
  3. Step 3: Cross multiply
    2,660.50x = 3,991.39 × 836.50
  4. Step 4: Simplify right side
    2,660.50x = 3,338,797.74
  5. Step 5: Solve for x
    x = 3,338,797.74/2,660.50
  6. Step 6: Final answer
    x = 1,254.95

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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.