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Finding the Fourth Proportional to 12,229.84, 16,876.80 and 7,193.92

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Solution

The fourth proportional to 12,229.84, 16,876.80 and 7,193.92 is: 9,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.84 : 16,876.80 = 7,193.92 : x
  2. Step 2: Convert to fraction form
    12,229.84/16,876.80 = 7,193.92/x
  3. Step 3: Cross multiply
    12,229.84x = 16,876.80 × 7,193.92
  4. Step 4: Simplify right side
    12,229.84x = 121,410,349.06
  5. Step 5: Solve for x
    x = 121,410,349.06/12,229.84
  6. Step 6: Final answer
    x = 9,927.39

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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.