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Finding the Fourth Proportional to 2,196.32, 3,294.16 and 828

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Solution

The fourth proportional to 2,196.32, 3,294.16 and 828 is: 1,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.32 : 3,294.16 = 828 : x
  2. Step 2: Convert to fraction form
    2,196.32/3,294.16 = 828/x
  3. Step 3: Cross multiply
    2,196.32x = 3,294.16 × 828
  4. Step 4: Simplify right side
    2,196.32x = 2,727,564.48
  5. Step 5: Solve for x
    x = 2,727,564.48/2,196.32
  6. Step 6: Final answer
    x = 1,241.88

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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.