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Finding the Fourth Proportional to 22,338, 30,884.04 and 21,358.80

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Solution

The fourth proportional to 22,338, 30,884.04 and 21,358.80 is: 29,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338 : 30,884.04 = 21,358.80 : x
  2. Step 2: Convert to fraction form
    22,338/30,884.04 = 21,358.80/x
  3. Step 3: Cross multiply
    22,338x = 30,884.04 × 21,358.80
  4. Step 4: Simplify right side
    22,338x = 659,646,033.55
  5. Step 5: Solve for x
    x = 659,646,033.55/22,338
  6. Step 6: Final answer
    x = 29,530.22

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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.