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Finding the Fourth Proportional to 3,289.75, 4,936.77 and 1,209.77

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Solution

The fourth proportional to 3,289.75, 4,936.77 and 1,209.77 is: 1,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.75 : 4,936.77 = 1,209.77 : x
  2. Step 2: Convert to fraction form
    3,289.75/4,936.77 = 1,209.77/x
  3. Step 3: Cross multiply
    3,289.75x = 4,936.77 × 1,209.77
  4. Step 4: Simplify right side
    3,289.75x = 5,972,350.07
  5. Step 5: Solve for x
    x = 5,972,350.07/3,289.75
  6. Step 6: Final answer
    x = 1,815.44

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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.