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Finding the Fourth Proportional to 2,906.27, 4,359.40 and 826.24

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Solution

The fourth proportional to 2,906.27, 4,359.40 and 826.24 is: 1,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.27 : 4,359.40 = 826.24 : x
  2. Step 2: Convert to fraction form
    2,906.27/4,359.40 = 826.24/x
  3. Step 3: Cross multiply
    2,906.27x = 4,359.40 × 826.24
  4. Step 4: Simplify right side
    2,906.27x = 3,601,910.66
  5. Step 5: Solve for x
    x = 3,601,910.66/2,906.27
  6. Step 6: Final answer
    x = 1,239.36

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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.