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Finding the Fourth Proportional to 2,774.60, 4,161.90 and 827.48

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Solution

The fourth proportional to 2,774.60, 4,161.90 and 827.48 is: 1,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.60 : 4,161.90 = 827.48 : x
  2. Step 2: Convert to fraction form
    2,774.60/4,161.90 = 827.48/x
  3. Step 3: Cross multiply
    2,774.60x = 4,161.90 × 827.48
  4. Step 4: Simplify right side
    2,774.60x = 3,443,889.01
  5. Step 5: Solve for x
    x = 3,443,889.01/2,774.60
  6. Step 6: Final answer
    x = 1,241.22

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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.