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Finding the Fourth Proportional to 7,851.78, 11,780.08 and 3,691.62

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Solution

The fourth proportional to 7,851.78, 11,780.08 and 3,691.62 is: 5,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.78 : 11,780.08 = 3,691.62 : x
  2. Step 2: Convert to fraction form
    7,851.78/11,780.08 = 3,691.62/x
  3. Step 3: Cross multiply
    7,851.78x = 11,780.08 × 3,691.62
  4. Step 4: Simplify right side
    7,851.78x = 43,487,578.93
  5. Step 5: Solve for x
    x = 43,487,578.93/7,851.78
  6. Step 6: Final answer
    x = 5,538.56

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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.