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Finding the Fourth Proportional to 2,086.92, 3,131.97 and 771.92

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Solution

The fourth proportional to 2,086.92, 3,131.97 and 771.92 is: 1,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.92 : 3,131.97 = 771.92 : x
  2. Step 2: Convert to fraction form
    2,086.92/3,131.97 = 771.92/x
  3. Step 3: Cross multiply
    2,086.92x = 3,131.97 × 771.92
  4. Step 4: Simplify right side
    2,086.92x = 2,417,628.56
  5. Step 5: Solve for x
    x = 2,417,628.56/2,086.92
  6. Step 6: Final answer
    x = 1,158.47

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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.