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Finding the Fourth Proportional to 1,997.70, 2,997.99 and 1,011.39

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Solution

The fourth proportional to 1,997.70, 2,997.99 and 1,011.39 is: 1,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.70 : 2,997.99 = 1,011.39 : x
  2. Step 2: Convert to fraction form
    1,997.70/2,997.99 = 1,011.39/x
  3. Step 3: Cross multiply
    1,997.70x = 2,997.99 × 1,011.39
  4. Step 4: Simplify right side
    1,997.70x = 3,032,137.11
  5. Step 5: Solve for x
    x = 3,032,137.11/1,997.70
  6. Step 6: Final answer
    x = 1,517.81

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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.