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Finding the Fourth Proportional to 2,692.85, 4,040.85 and 1,132.75

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Solution

The fourth proportional to 2,692.85, 4,040.85 and 1,132.75 is: 1,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.85 : 4,040.85 = 1,132.75 : x
  2. Step 2: Convert to fraction form
    2,692.85/4,040.85 = 1,132.75/x
  3. Step 3: Cross multiply
    2,692.85x = 4,040.85 × 1,132.75
  4. Step 4: Simplify right side
    2,692.85x = 4,577,282.14
  5. Step 5: Solve for x
    x = 4,577,282.14/2,692.85
  6. Step 6: Final answer
    x = 1,699.79

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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.