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Finding the Fourth Proportional to 11,956.96, 17,935.53 and 3,191.77

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Solution

The fourth proportional to 11,956.96, 17,935.53 and 3,191.77 is: 4,787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.96 : 17,935.53 = 3,191.77 : x
  2. Step 2: Convert to fraction form
    11,956.96/17,935.53 = 3,191.77/x
  3. Step 3: Cross multiply
    11,956.96x = 17,935.53 × 3,191.77
  4. Step 4: Simplify right side
    11,956.96x = 57,246,086.59
  5. Step 5: Solve for x
    x = 57,246,086.59/11,956.96
  6. Step 6: Final answer
    x = 4,787.68

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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.