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Finding the Fourth Proportional to 2,190.76, 3,286.32 and 892

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Solution

The fourth proportional to 2,190.76, 3,286.32 and 892 is: 1,338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.76 : 3,286.32 = 892 : x
  2. Step 2: Convert to fraction form
    2,190.76/3,286.32 = 892/x
  3. Step 3: Cross multiply
    2,190.76x = 3,286.32 × 892
  4. Step 4: Simplify right side
    2,190.76x = 2,931,397.44
  5. Step 5: Solve for x
    x = 2,931,397.44/2,190.76
  6. Step 6: Final answer
    x = 1,338.07

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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.