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Finding the Fourth Proportional to 3,289.62, 4,932.81 and 1,208.15

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Solution

The fourth proportional to 3,289.62, 4,932.81 and 1,208.15 is: 1,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.62 : 4,932.81 = 1,208.15 : x
  2. Step 2: Convert to fraction form
    3,289.62/4,932.81 = 1,208.15/x
  3. Step 3: Cross multiply
    3,289.62x = 4,932.81 × 1,208.15
  4. Step 4: Simplify right side
    3,289.62x = 5,959,574.40
  5. Step 5: Solve for x
    x = 5,959,574.40/3,289.62
  6. Step 6: Final answer
    x = 1,811.63

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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.