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Finding the Fourth Proportional to 2,776.92, 3,832.11 and 1,517.97

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Solution

The fourth proportional to 2,776.92, 3,832.11 and 1,517.97 is: 2,094.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.92 : 3,832.11 = 1,517.97 : x
  2. Step 2: Convert to fraction form
    2,776.92/3,832.11 = 1,517.97/x
  3. Step 3: Cross multiply
    2,776.92x = 3,832.11 × 1,517.97
  4. Step 4: Simplify right side
    2,776.92x = 5,817,028.02
  5. Step 5: Solve for x
    x = 5,817,028.02/2,776.92
  6. Step 6: Final answer
    x = 2,094.78

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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.