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Finding the Fourth Proportional to 1,997.55, 2,996.17 and 827.27

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Solution

The fourth proportional to 1,997.55, 2,996.17 and 827.27 is: 1,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.55 : 2,996.17 = 827.27 : x
  2. Step 2: Convert to fraction form
    1,997.55/2,996.17 = 827.27/x
  3. Step 3: Cross multiply
    1,997.55x = 2,996.17 × 827.27
  4. Step 4: Simplify right side
    1,997.55x = 2,478,624.51
  5. Step 5: Solve for x
    x = 2,478,624.51/1,997.55
  6. Step 6: Final answer
    x = 1,240.83

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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.