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Finding the Fourth Proportional to 2,192.78, 3,286.34 and 892.74

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Solution

The fourth proportional to 2,192.78, 3,286.34 and 892.74 is: 1,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.78 : 3,286.34 = 892.74 : x
  2. Step 2: Convert to fraction form
    2,192.78/3,286.34 = 892.74/x
  3. Step 3: Cross multiply
    2,192.78x = 3,286.34 × 892.74
  4. Step 4: Simplify right side
    2,192.78x = 2,933,847.17
  5. Step 5: Solve for x
    x = 2,933,847.17/2,192.78
  6. Step 6: Final answer
    x = 1,337.96

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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.