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Finding the Fourth Proportional to 3,997.68, 5,999.64 and 2,773.71

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Solution

The fourth proportional to 3,997.68, 5,999.64 and 2,773.71 is: 4,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.68 : 5,999.64 = 2,773.71 : x
  2. Step 2: Convert to fraction form
    3,997.68/5,999.64 = 2,773.71/x
  3. Step 3: Cross multiply
    3,997.68x = 5,999.64 × 2,773.71
  4. Step 4: Simplify right side
    3,997.68x = 16,641,261.46
  5. Step 5: Solve for x
    x = 16,641,261.46/3,997.68
  6. Step 6: Final answer
    x = 4,162.73

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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.