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Finding the Fourth Proportional to 17,191, 23,723.58 and 9,739

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Solution

The fourth proportional to 17,191, 23,723.58 and 9,739 is: 13,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,191 : 23,723.58 = 9,739 : x
  2. Step 2: Convert to fraction form
    17,191/23,723.58 = 9,739/x
  3. Step 3: Cross multiply
    17,191x = 23,723.58 × 9,739
  4. Step 4: Simplify right side
    17,191x = 231,043,945.62
  5. Step 5: Solve for x
    x = 231,043,945.62/17,191
  6. Step 6: Final answer
    x = 13,439.82

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1.5x scale

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.