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Finding the Fourth Proportional to 2,692.76, 4,037.67 and 843.38

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Solution

The fourth proportional to 2,692.76, 4,037.67 and 843.38 is: 1,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.76 : 4,037.67 = 843.38 : x
  2. Step 2: Convert to fraction form
    2,692.76/4,037.67 = 843.38/x
  3. Step 3: Cross multiply
    2,692.76x = 4,037.67 × 843.38
  4. Step 4: Simplify right side
    2,692.76x = 3,405,290.12
  5. Step 5: Solve for x
    x = 3,405,290.12/2,692.76
  6. Step 6: Final answer
    x = 1,264.61

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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.