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Finding the Fourth Proportional to 22,589, 31,172.82 and 12,653

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Solution

The fourth proportional to 22,589, 31,172.82 and 12,653 is: 17,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589 : 31,172.82 = 12,653 : x
  2. Step 2: Convert to fraction form
    22,589/31,172.82 = 12,653/x
  3. Step 3: Cross multiply
    22,589x = 31,172.82 × 12,653
  4. Step 4: Simplify right side
    22,589x = 394,429,691.46
  5. Step 5: Solve for x
    x = 394,429,691.46/22,589
  6. Step 6: Final answer
    x = 17,461.14

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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.