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Finding the Fourth Proportional to 12,194, 16,821.24 and 8,208.32

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Solution

The fourth proportional to 12,194, 16,821.24 and 8,208.32 is: 11,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194 : 16,821.24 = 8,208.32 : x
  2. Step 2: Convert to fraction form
    12,194/16,821.24 = 8,208.32/x
  3. Step 3: Cross multiply
    12,194x = 16,821.24 × 8,208.32
  4. Step 4: Simplify right side
    12,194x = 138,074,120.72
  5. Step 5: Solve for x
    x = 138,074,120.72/12,194
  6. Step 6: Final answer
    x = 11,323.12

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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.