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Finding the Fourth Proportional to 2,761.62, 4,142.43 and 2,592.66

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Solution

The fourth proportional to 2,761.62, 4,142.43 and 2,592.66 is: 3,888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.62 : 4,142.43 = 2,592.66 : x
  2. Step 2: Convert to fraction form
    2,761.62/4,142.43 = 2,592.66/x
  3. Step 3: Cross multiply
    2,761.62x = 4,142.43 × 2,592.66
  4. Step 4: Simplify right side
    2,761.62x = 10,739,912.56
  5. Step 5: Solve for x
    x = 10,739,912.56/2,761.62
  6. Step 6: Final answer
    x = 3,888.99

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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.