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Finding the Fourth Proportional to 16,755, 23,121.90 and 9,303

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Solution

The fourth proportional to 16,755, 23,121.90 and 9,303 is: 12,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,755 : 23,121.90 = 9,303 : x
  2. Step 2: Convert to fraction form
    16,755/23,121.90 = 9,303/x
  3. Step 3: Cross multiply
    16,755x = 23,121.90 × 9,303
  4. Step 4: Simplify right side
    16,755x = 215,103,035.70
  5. Step 5: Solve for x
    x = 215,103,035.70/16,755
  6. Step 6: Final answer
    x = 12,838.14

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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.