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Finding the Fourth Proportional to 2,692.75, 4,040.75 and 1,153.75

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Solution

The fourth proportional to 2,692.75, 4,040.75 and 1,153.75 is: 1,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.75 : 4,040.75 = 1,153.75 : x
  2. Step 2: Convert to fraction form
    2,692.75/4,040.75 = 1,153.75/x
  3. Step 3: Cross multiply
    2,692.75x = 4,040.75 × 1,153.75
  4. Step 4: Simplify right side
    2,692.75x = 4,662,015.31
  5. Step 5: Solve for x
    x = 4,662,015.31/2,692.75
  6. Step 6: Final answer
    x = 1,731.32

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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.