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Finding the Fourth Proportional to 12,224.54, 16,866 and 8,447.91

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Solution

The fourth proportional to 12,224.54, 16,866 and 8,447.91 is: 11,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.54 : 16,866 = 8,447.91 : x
  2. Step 2: Convert to fraction form
    12,224.54/16,866 = 8,447.91/x
  3. Step 3: Cross multiply
    12,224.54x = 16,866 × 8,447.91
  4. Step 4: Simplify right side
    12,224.54x = 142,482,450.06
  5. Step 5: Solve for x
    x = 142,482,450.06/12,224.54
  6. Step 6: Final answer
    x = 11,655.44

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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.