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Finding the Fourth Proportional to 2,775.55, 4,163.99 and 827.74

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Solution

The fourth proportional to 2,775.55, 4,163.99 and 827.74 is: 1,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.55 : 4,163.99 = 827.74 : x
  2. Step 2: Convert to fraction form
    2,775.55/4,163.99 = 827.74/x
  3. Step 3: Cross multiply
    2,775.55x = 4,163.99 × 827.74
  4. Step 4: Simplify right side
    2,775.55x = 3,446,701.08
  5. Step 5: Solve for x
    x = 3,446,701.08/2,775.55
  6. Step 6: Final answer
    x = 1,241.81

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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.