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Finding the Fourth Proportional to 3,286.62, 4,928.31 and 1,205.15

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Solution

The fourth proportional to 3,286.62, 4,928.31 and 1,205.15 is: 1,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.62 : 4,928.31 = 1,205.15 : x
  2. Step 2: Convert to fraction form
    3,286.62/4,928.31 = 1,205.15/x
  3. Step 3: Cross multiply
    3,286.62x = 4,928.31 × 1,205.15
  4. Step 4: Simplify right side
    3,286.62x = 5,939,328.15
  5. Step 5: Solve for x
    x = 5,939,328.15/3,286.62
  6. Step 6: Final answer
    x = 1,807.12

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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.