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Finding the Fourth Proportional to 18,489.25, 27,707.14 and 7,956.42

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Solution

The fourth proportional to 18,489.25, 27,707.14 and 7,956.42 is: 11,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489.25 : 27,707.14 = 7,956.42 : x
  2. Step 2: Convert to fraction form
    18,489.25/27,707.14 = 7,956.42/x
  3. Step 3: Cross multiply
    18,489.25x = 27,707.14 × 7,956.42
  4. Step 4: Simplify right side
    18,489.25x = 220,449,642.84
  5. Step 5: Solve for x
    x = 220,449,642.84/18,489.25
  6. Step 6: Final answer
    x = 11,923.13

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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.