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Finding the Fourth Proportional to 16,409, 22,644.48 and 8,957

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Solution

The fourth proportional to 16,409, 22,644.48 and 8,957 is: 12,360.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409 : 22,644.48 = 8,957 : x
  2. Step 2: Convert to fraction form
    16,409/22,644.48 = 8,957/x
  3. Step 3: Cross multiply
    16,409x = 22,644.48 × 8,957
  4. Step 4: Simplify right side
    16,409x = 202,826,607.36
  5. Step 5: Solve for x
    x = 202,826,607.36/16,409
  6. Step 6: Final answer
    x = 12,360.69

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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.