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Finding the Fourth Proportional to 2,650.92, 3,976.74 and 896.43

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Solution

The fourth proportional to 2,650.92, 3,976.74 and 896.43 is: 1,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.92 : 3,976.74 = 896.43 : x
  2. Step 2: Convert to fraction form
    2,650.92/3,976.74 = 896.43/x
  3. Step 3: Cross multiply
    2,650.92x = 3,976.74 × 896.43
  4. Step 4: Simplify right side
    2,650.92x = 3,564,869.04
  5. Step 5: Solve for x
    x = 3,564,869.04/2,650.92
  6. Step 6: Final answer
    x = 1,344.77

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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.