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Finding the Fourth Proportional to 7,287.62, 10,936.73 and 2,906.33

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Solution

The fourth proportional to 7,287.62, 10,936.73 and 2,906.33 is: 4,361.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.62 : 10,936.73 = 2,906.33 : x
  2. Step 2: Convert to fraction form
    7,287.62/10,936.73 = 2,906.33/x
  3. Step 3: Cross multiply
    7,287.62x = 10,936.73 × 2,906.33
  4. Step 4: Simplify right side
    7,287.62x = 31,785,699.08
  5. Step 5: Solve for x
    x = 31,785,699.08/7,287.62
  6. Step 6: Final answer
    x = 4,361.61

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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.