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Finding the Fourth Proportional to 22,583, 31,164.54 and 12,647

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Solution

The fourth proportional to 22,583, 31,164.54 and 12,647 is: 17,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583 : 31,164.54 = 12,647 : x
  2. Step 2: Convert to fraction form
    22,583/31,164.54 = 12,647/x
  3. Step 3: Cross multiply
    22,583x = 31,164.54 × 12,647
  4. Step 4: Simplify right side
    22,583x = 394,137,937.38
  5. Step 5: Solve for x
    x = 394,137,937.38/22,583
  6. Step 6: Final answer
    x = 17,452.86

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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.