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Finding the Fourth Proportional to 2,127.24, 3,190.32 and 828

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Solution

The fourth proportional to 2,127.24, 3,190.32 and 828 is: 1,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.24 : 3,190.32 = 828 : x
  2. Step 2: Convert to fraction form
    2,127.24/3,190.32 = 828/x
  3. Step 3: Cross multiply
    2,127.24x = 3,190.32 × 828
  4. Step 4: Simplify right side
    2,127.24x = 2,641,584.96
  5. Step 5: Solve for x
    x = 2,641,584.96/2,127.24
  6. Step 6: Final answer
    x = 1,241.79

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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.