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Finding the Fourth Proportional to 3,999.72, 5,997.26 and 1,225.64

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Solution

The fourth proportional to 3,999.72, 5,997.26 and 1,225.64 is: 1,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.72 : 5,997.26 = 1,225.64 : x
  2. Step 2: Convert to fraction form
    3,999.72/5,997.26 = 1,225.64/x
  3. Step 3: Cross multiply
    3,999.72x = 5,997.26 × 1,225.64
  4. Step 4: Simplify right side
    3,999.72x = 7,350,481.75
  5. Step 5: Solve for x
    x = 7,350,481.75/3,999.72
  6. Step 6: Final answer
    x = 1,837.75

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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.