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Finding the Fourth Proportional to 22,857, 31,546.98 and 12,921

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Solution

The fourth proportional to 22,857, 31,546.98 and 12,921 is: 17,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857 : 31,546.98 = 12,921 : x
  2. Step 2: Convert to fraction form
    22,857/31,546.98 = 12,921/x
  3. Step 3: Cross multiply
    22,857x = 31,546.98 × 12,921
  4. Step 4: Simplify right side
    22,857x = 407,618,528.58
  5. Step 5: Solve for x
    x = 407,618,528.58/22,857
  6. Step 6: Final answer
    x = 17,833.42

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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.