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Finding the Fourth Proportional to 2,796.87, 4,195.98 and 1,976.75

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Solution

The fourth proportional to 2,796.87, 4,195.98 and 1,976.75 is: 2,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.87 : 4,195.98 = 1,976.75 : x
  2. Step 2: Convert to fraction form
    2,796.87/4,195.98 = 1,976.75/x
  3. Step 3: Cross multiply
    2,796.87x = 4,195.98 × 1,976.75
  4. Step 4: Simplify right side
    2,796.87x = 8,294,382.49
  5. Step 5: Solve for x
    x = 8,294,382.49/2,796.87
  6. Step 6: Final answer
    x = 2,965.59

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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.