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Finding the Fourth Proportional to 2,906.13, 4,359.93 and 826.14

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Solution

The fourth proportional to 2,906.13, 4,359.93 and 826.14 is: 1,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.13 : 4,359.93 = 826.14 : x
  2. Step 2: Convert to fraction form
    2,906.13/4,359.93 = 826.14/x
  3. Step 3: Cross multiply
    2,906.13x = 4,359.93 × 826.14
  4. Step 4: Simplify right side
    2,906.13x = 3,601,912.57
  5. Step 5: Solve for x
    x = 3,601,912.57/2,906.13
  6. Step 6: Final answer
    x = 1,239.42

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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.