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Finding the Fourth Proportional to 3,286.64, 4,928.74 and 945.85

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Solution

The fourth proportional to 3,286.64, 4,928.74 and 945.85 is: 1,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.64 : 4,928.74 = 945.85 : x
  2. Step 2: Convert to fraction form
    3,286.64/4,928.74 = 945.85/x
  3. Step 3: Cross multiply
    3,286.64x = 4,928.74 × 945.85
  4. Step 4: Simplify right side
    3,286.64x = 4,661,851.75
  5. Step 5: Solve for x
    x = 4,661,851.75/3,286.64
  6. Step 6: Final answer
    x = 1,418.43

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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.