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Finding the Fourth Proportional to 22,813, 31,481.94 and 12,877

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Solution

The fourth proportional to 22,813, 31,481.94 and 12,877 is: 17,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813 : 31,481.94 = 12,877 : x
  2. Step 2: Convert to fraction form
    22,813/31,481.94 = 12,877/x
  3. Step 3: Cross multiply
    22,813x = 31,481.94 × 12,877
  4. Step 4: Simplify right side
    22,813x = 405,392,941.38
  5. Step 5: Solve for x
    x = 405,392,941.38/22,813
  6. Step 6: Final answer
    x = 17,770.26

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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.