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Finding the Fourth Proportional to 16,783, 23,160.62 and 9,331

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Solution

The fourth proportional to 16,783, 23,160.62 and 9,331 is: 12,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783 : 23,160.62 = 9,331 : x
  2. Step 2: Convert to fraction form
    16,783/23,160.62 = 9,331/x
  3. Step 3: Cross multiply
    16,783x = 23,160.62 × 9,331
  4. Step 4: Simplify right side
    16,783x = 216,111,745.22
  5. Step 5: Solve for x
    x = 216,111,745.22/16,783
  6. Step 6: Final answer
    x = 12,876.82

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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.