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Finding the Fourth Proportional to 2,677.71, 4,015.98 and 827.76

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Solution

The fourth proportional to 2,677.71, 4,015.98 and 827.76 is: 1,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.71 : 4,015.98 = 827.76 : x
  2. Step 2: Convert to fraction form
    2,677.71/4,015.98 = 827.76/x
  3. Step 3: Cross multiply
    2,677.71x = 4,015.98 × 827.76
  4. Step 4: Simplify right side
    2,677.71x = 3,324,267.60
  5. Step 5: Solve for x
    x = 3,324,267.60/2,677.71
  6. Step 6: Final answer
    x = 1,241.46

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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.