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Finding the Fourth Proportional to 39,716.62, 54,809.32 and 21,812

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Solution

The fourth proportional to 39,716.62, 54,809.32 and 21,812 is: 30,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,716.62 : 54,809.32 = 21,812 : x
  2. Step 2: Convert to fraction form
    39,716.62/54,809.32 = 21,812/x
  3. Step 3: Cross multiply
    39,716.62x = 54,809.32 × 21,812
  4. Step 4: Simplify right side
    39,716.62x = 1,195,500,833.31
  5. Step 5: Solve for x
    x = 1,195,500,833.31/39,716.62
  6. Step 6: Final answer
    x = 30,100.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.