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Finding the Fourth Proportional to 17,170.72, 23,694.12 and 9,616.40

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Solution

The fourth proportional to 17,170.72, 23,694.12 and 9,616.40 is: 13,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,170.72 : 23,694.12 = 9,616.40 : x
  2. Step 2: Convert to fraction form
    17,170.72/23,694.12 = 9,616.40/x
  3. Step 3: Cross multiply
    17,170.72x = 23,694.12 × 9,616.40
  4. Step 4: Simplify right side
    17,170.72x = 227,852,135.57
  5. Step 5: Solve for x
    x = 227,852,135.57/17,170.72
  6. Step 6: Final answer
    x = 13,269.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.