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Finding the Fourth Proportional to 16,383, 22,608.60 and 8,931

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Solution

The fourth proportional to 16,383, 22,608.60 and 8,931 is: 12,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383 : 22,608.60 = 8,931 : x
  2. Step 2: Convert to fraction form
    16,383/22,608.60 = 8,931/x
  3. Step 3: Cross multiply
    16,383x = 22,608.60 × 8,931
  4. Step 4: Simplify right side
    16,383x = 201,917,406.60
  5. Step 5: Solve for x
    x = 201,917,406.60/16,383
  6. Step 6: Final answer
    x = 12,324.81

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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.