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Finding the Fourth Proportional to 16,717, 23,070.18 and 9,265

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Solution

The fourth proportional to 16,717, 23,070.18 and 9,265 is: 12,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,717 : 23,070.18 = 9,265 : x
  2. Step 2: Convert to fraction form
    16,717/23,070.18 = 9,265/x
  3. Step 3: Cross multiply
    16,717x = 23,070.18 × 9,265
  4. Step 4: Simplify right side
    16,717x = 213,745,217.70
  5. Step 5: Solve for x
    x = 213,745,217.70/16,717
  6. Step 6: Final answer
    x = 12,786.10

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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.