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Finding the Fourth Proportional to 22,429.44, 33,642 and 7,638.12

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Solution

The fourth proportional to 22,429.44, 33,642 and 7,638.12 is: 11,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429.44 : 33,642 = 7,638.12 : x
  2. Step 2: Convert to fraction form
    22,429.44/33,642 = 7,638.12/x
  3. Step 3: Cross multiply
    22,429.44x = 33,642 × 7,638.12
  4. Step 4: Simplify right side
    22,429.44x = 256,961,633.04
  5. Step 5: Solve for x
    x = 256,961,633.04/22,429.44
  6. Step 6: Final answer
    x = 11,456.44

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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.