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Finding the Fourth Proportional to 2,027.23, 3,039.01 and 728.39

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Solution

The fourth proportional to 2,027.23, 3,039.01 and 728.39 is: 1,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.23 : 3,039.01 = 728.39 : x
  2. Step 2: Convert to fraction form
    2,027.23/3,039.01 = 728.39/x
  3. Step 3: Cross multiply
    2,027.23x = 3,039.01 × 728.39
  4. Step 4: Simplify right side
    2,027.23x = 2,213,593.00
  5. Step 5: Solve for x
    x = 2,213,593.00/2,027.23
  6. Step 6: Final answer
    x = 1,091.93

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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.