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Finding the Fourth Proportional to 1,997.64, 3,011.41 and 1,863.84

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Solution

The fourth proportional to 1,997.64, 3,011.41 and 1,863.84 is: 2,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.64 : 3,011.41 = 1,863.84 : x
  2. Step 2: Convert to fraction form
    1,997.64/3,011.41 = 1,863.84/x
  3. Step 3: Cross multiply
    1,997.64x = 3,011.41 × 1,863.84
  4. Step 4: Simplify right side
    1,997.64x = 5,612,781.75
  5. Step 5: Solve for x
    x = 5,612,781.75/1,997.64
  6. Step 6: Final answer
    x = 2,809.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.