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Finding the Fourth Proportional to 1,997.21, 2,997.83 and 1,378.77

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Solution

The fourth proportional to 1,997.21, 2,997.83 and 1,378.77 is: 2,069.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.21 : 2,997.83 = 1,378.77 : x
  2. Step 2: Convert to fraction form
    1,997.21/2,997.83 = 1,378.77/x
  3. Step 3: Cross multiply
    1,997.21x = 2,997.83 × 1,378.77
  4. Step 4: Simplify right side
    1,997.21x = 4,133,318.07
  5. Step 5: Solve for x
    x = 4,133,318.07/1,997.21
  6. Step 6: Final answer
    x = 2,069.55

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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.