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Finding the Fourth Proportional to 22,628.64, 33,930 and 21,324

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Solution

The fourth proportional to 22,628.64, 33,930 and 21,324 is: 31,973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,628.64 : 33,930 = 21,324 : x
  2. Step 2: Convert to fraction form
    22,628.64/33,930 = 21,324/x
  3. Step 3: Cross multiply
    22,628.64x = 33,930 × 21,324
  4. Step 4: Simplify right side
    22,628.64x = 723,523,320
  5. Step 5: Solve for x
    x = 723,523,320/22,628.64
  6. Step 6: Final answer
    x = 31,973.79

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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.