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Finding the Fourth Proportional to 2,976.62, 4,107.21 and 1,796.90

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Solution

The fourth proportional to 2,976.62, 4,107.21 and 1,796.90 is: 2,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.62 : 4,107.21 = 1,796.90 : x
  2. Step 2: Convert to fraction form
    2,976.62/4,107.21 = 1,796.90/x
  3. Step 3: Cross multiply
    2,976.62x = 4,107.21 × 1,796.90
  4. Step 4: Simplify right side
    2,976.62x = 7,380,245.65
  5. Step 5: Solve for x
    x = 7,380,245.65/2,976.62
  6. Step 6: Final answer
    x = 2,479.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.