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Finding the Fourth Proportional to 6,380.57, 9,571.37 and 1,998

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Solution

The fourth proportional to 6,380.57, 9,571.37 and 1,998 is: 2,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.57 : 9,571.37 = 1,998 : x
  2. Step 2: Convert to fraction form
    6,380.57/9,571.37 = 1,998/x
  3. Step 3: Cross multiply
    6,380.57x = 9,571.37 × 1,998
  4. Step 4: Simplify right side
    6,380.57x = 19,123,587.27
  5. Step 5: Solve for x
    x = 19,123,587.27/6,380.57
  6. Step 6: Final answer
    x = 2,997.16

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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.