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Finding the Fourth Proportional to 11,992.81, 17,965.84 and 7,301.19

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Solution

The fourth proportional to 11,992.81, 17,965.84 and 7,301.19 is: 10,937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.81 : 17,965.84 = 7,301.19 : x
  2. Step 2: Convert to fraction form
    11,992.81/17,965.84 = 7,301.19/x
  3. Step 3: Cross multiply
    11,992.81x = 17,965.84 × 7,301.19
  4. Step 4: Simplify right side
    11,992.81x = 131,171,921.52
  5. Step 5: Solve for x
    x = 131,171,921.52/11,992.81
  6. Step 6: Final answer
    x = 10,937.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.