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Finding the Fourth Proportional to 16,406, 22,640.36 and 8,954

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Solution

The fourth proportional to 16,406, 22,640.36 and 8,954 is: 12,356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406 : 22,640.36 = 8,954 : x
  2. Step 2: Convert to fraction form
    16,406/22,640.36 = 8,954/x
  3. Step 3: Cross multiply
    16,406x = 22,640.36 × 8,954
  4. Step 4: Simplify right side
    16,406x = 202,721,783.44
  5. Step 5: Solve for x
    x = 202,721,783.44/16,406
  6. Step 6: Final answer
    x = 12,356.56

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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.