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Finding the Fourth Proportional to 3,211, 4,816.50 and 779

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Solution

The fourth proportional to 3,211, 4,816.50 and 779 is: 1,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211 : 4,816.50 = 779 : x
  2. Step 2: Convert to fraction form
    3,211/4,816.50 = 779/x
  3. Step 3: Cross multiply
    3,211x = 4,816.50 × 779
  4. Step 4: Simplify right side
    3,211x = 3,752,053.50
  5. Step 5: Solve for x
    x = 3,752,053.50/3,211
  6. Step 6: Final answer
    x = 1,168.50

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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.