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Finding the Fourth Proportional to 16,680, 23,019.12 and 9,228

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Solution

The fourth proportional to 16,680, 23,019.12 and 9,228 is: 12,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,680 : 23,019.12 = 9,228 : x
  2. Step 2: Convert to fraction form
    16,680/23,019.12 = 9,228/x
  3. Step 3: Cross multiply
    16,680x = 23,019.12 × 9,228
  4. Step 4: Simplify right side
    16,680x = 212,420,439.36
  5. Step 5: Solve for x
    x = 212,420,439.36/16,680
  6. Step 6: Final answer
    x = 12,735.04

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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.