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Finding the Fourth Proportional to 3,228.38, 4,843.37 and 919.88

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Solution

The fourth proportional to 3,228.38, 4,843.37 and 919.88 is: 1,380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.38 : 4,843.37 = 919.88 : x
  2. Step 2: Convert to fraction form
    3,228.38/4,843.37 = 919.88/x
  3. Step 3: Cross multiply
    3,228.38x = 4,843.37 × 919.88
  4. Step 4: Simplify right side
    3,228.38x = 4,455,297.28
  5. Step 5: Solve for x
    x = 4,455,297.28/3,228.38
  6. Step 6: Final answer
    x = 1,380.04

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1.5x scale

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.