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Finding the Fourth Proportional to 2,907.97, 4,361.85 and 827.96

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Solution

The fourth proportional to 2,907.97, 4,361.85 and 827.96 is: 1,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.97 : 4,361.85 = 827.96 : x
  2. Step 2: Convert to fraction form
    2,907.97/4,361.85 = 827.96/x
  3. Step 3: Cross multiply
    2,907.97x = 4,361.85 × 827.96
  4. Step 4: Simplify right side
    2,907.97x = 3,611,415.52
  5. Step 5: Solve for x
    x = 3,611,415.52/2,907.97
  6. Step 6: Final answer
    x = 1,241.90

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1.5x scale

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.