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Finding the Fourth Proportional to 22,205.26, 30,642.89 and 12,133.49

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Solution

The fourth proportional to 22,205.26, 30,642.89 and 12,133.49 is: 16,744.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.26 : 30,642.89 = 12,133.49 : x
  2. Step 2: Convert to fraction form
    22,205.26/30,642.89 = 12,133.49/x
  3. Step 3: Cross multiply
    22,205.26x = 30,642.89 × 12,133.49
  4. Step 4: Simplify right side
    22,205.26x = 371,805,046.17
  5. Step 5: Solve for x
    x = 371,805,046.17/22,205.26
  6. Step 6: Final answer
    x = 16,744.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.