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Finding the Fourth Proportional to 2,907.77, 4,361 and 827.73

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Solution

The fourth proportional to 2,907.77, 4,361 and 827.73 is: 1,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.77 : 4,361 = 827.73 : x
  2. Step 2: Convert to fraction form
    2,907.77/4,361 = 827.73/x
  3. Step 3: Cross multiply
    2,907.77x = 4,361 × 827.73
  4. Step 4: Simplify right side
    2,907.77x = 3,609,730.53
  5. Step 5: Solve for x
    x = 3,609,730.53/2,907.77
  6. Step 6: Final answer
    x = 1,241.41

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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.