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Finding the Fourth Proportional to 11,975.89, 17,963.82 and 3,767.89

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Solution

The fourth proportional to 11,975.89, 17,963.82 and 3,767.89 is: 5,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.89 : 17,963.82 = 3,767.89 : x
  2. Step 2: Convert to fraction form
    11,975.89/17,963.82 = 3,767.89/x
  3. Step 3: Cross multiply
    11,975.89x = 17,963.82 × 3,767.89
  4. Step 4: Simplify right side
    11,975.89x = 67,685,697.74
  5. Step 5: Solve for x
    x = 67,685,697.74/11,975.89
  6. Step 6: Final answer
    x = 5,651.83

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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.