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Finding the Fourth Proportional to 6,381.77, 9,571.29 and 1,998.66

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Solution

The fourth proportional to 6,381.77, 9,571.29 and 1,998.66 is: 2,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.77 : 9,571.29 = 1,998.66 : x
  2. Step 2: Convert to fraction form
    6,381.77/9,571.29 = 1,998.66/x
  3. Step 3: Cross multiply
    6,381.77x = 9,571.29 × 1,998.66
  4. Step 4: Simplify right side
    6,381.77x = 19,129,754.47
  5. Step 5: Solve for x
    x = 19,129,754.47/6,381.77
  6. Step 6: Final answer
    x = 2,997.56

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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.