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Finding the Fourth Proportional to 17,138, 23,650.44 and 9,686

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Solution

The fourth proportional to 17,138, 23,650.44 and 9,686 is: 13,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138 : 23,650.44 = 9,686 : x
  2. Step 2: Convert to fraction form
    17,138/23,650.44 = 9,686/x
  3. Step 3: Cross multiply
    17,138x = 23,650.44 × 9,686
  4. Step 4: Simplify right side
    17,138x = 229,078,161.84
  5. Step 5: Solve for x
    x = 229,078,161.84/17,138
  6. Step 6: Final answer
    x = 13,366.68

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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.