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Finding the Fourth Proportional to 11,956.64, 17,934.79 and 5,378.16

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Solution

The fourth proportional to 11,956.64, 17,934.79 and 5,378.16 is: 8,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.64 : 17,934.79 = 5,378.16 : x
  2. Step 2: Convert to fraction form
    11,956.64/17,934.79 = 5,378.16/x
  3. Step 3: Cross multiply
    11,956.64x = 17,934.79 × 5,378.16
  4. Step 4: Simplify right side
    11,956.64x = 96,456,170.19
  5. Step 5: Solve for x
    x = 96,456,170.19/11,956.64
  6. Step 6: Final answer
    x = 8,067.16

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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.