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Finding the Fourth Proportional to 39,821.64, 54,952.64 and 21,916.64

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Solution

The fourth proportional to 39,821.64, 54,952.64 and 21,916.64 is: 30,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,821.64 : 54,952.64 = 21,916.64 : x
  2. Step 2: Convert to fraction form
    39,821.64/54,952.64 = 21,916.64/x
  3. Step 3: Cross multiply
    39,821.64x = 54,952.64 × 21,916.64
  4. Step 4: Simplify right side
    39,821.64x = 1,204,377,227.93
  5. Step 5: Solve for x
    x = 1,204,377,227.93/39,821.64
  6. Step 6: Final answer
    x = 30,244.29

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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.