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Finding the Fourth Proportional to 22,519.69, 33,781.26 and 7,728.49

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Solution

The fourth proportional to 22,519.69, 33,781.26 and 7,728.49 is: 11,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.69 : 33,781.26 = 7,728.49 : x
  2. Step 2: Convert to fraction form
    22,519.69/33,781.26 = 7,728.49/x
  3. Step 3: Cross multiply
    22,519.69x = 33,781.26 × 7,728.49
  4. Step 4: Simplify right side
    22,519.69x = 261,078,130.10
  5. Step 5: Solve for x
    x = 261,078,130.10/22,519.69
  6. Step 6: Final answer
    x = 11,593.33

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1.5x scale

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.