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Finding the Fourth Proportional to 16,720, 23,073.64 and 9,268

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Solution

The fourth proportional to 16,720, 23,073.64 and 9,268 is: 12,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,720 : 23,073.64 = 9,268 : x
  2. Step 2: Convert to fraction form
    16,720/23,073.64 = 9,268/x
  3. Step 3: Cross multiply
    16,720x = 23,073.64 × 9,268
  4. Step 4: Simplify right side
    16,720x = 213,846,495.52
  5. Step 5: Solve for x
    x = 213,846,495.52/16,720
  6. Step 6: Final answer
    x = 12,789.86

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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.