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Finding the Fourth Proportional to 2,604.92, 3,906.76 and 849.64

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Solution

The fourth proportional to 2,604.92, 3,906.76 and 849.64 is: 1,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.92 : 3,906.76 = 849.64 : x
  2. Step 2: Convert to fraction form
    2,604.92/3,906.76 = 849.64/x
  3. Step 3: Cross multiply
    2,604.92x = 3,906.76 × 849.64
  4. Step 4: Simplify right side
    2,604.92x = 3,319,339.57
  5. Step 5: Solve for x
    x = 3,319,339.57/2,604.92
  6. Step 6: Final answer
    x = 1,274.26

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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.