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Finding the Fourth Proportional to 6,380.32, 9,571 and 1,997.76

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Solution

The fourth proportional to 6,380.32, 9,571 and 1,997.76 is: 2,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.32 : 9,571 = 1,997.76 : x
  2. Step 2: Convert to fraction form
    6,380.32/9,571 = 1,997.76/x
  3. Step 3: Cross multiply
    6,380.32x = 9,571 × 1,997.76
  4. Step 4: Simplify right side
    6,380.32x = 19,120,560.96
  5. Step 5: Solve for x
    x = 19,120,560.96/6,380.32
  6. Step 6: Final answer
    x = 2,996.80

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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.