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Finding the Fourth Proportional to 17,145, 23,662.26 and 9,693

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Solution

The fourth proportional to 17,145, 23,662.26 and 9,693 is: 13,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,145 : 23,662.26 = 9,693 : x
  2. Step 2: Convert to fraction form
    17,145/23,662.26 = 9,693/x
  3. Step 3: Cross multiply
    17,145x = 23,662.26 × 9,693
  4. Step 4: Simplify right side
    17,145x = 229,358,286.18
  5. Step 5: Solve for x
    x = 229,358,286.18/17,145
  6. Step 6: Final answer
    x = 13,377.56

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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.