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Finding the Fourth Proportional to 7,860.78, 11,794.41 and 2,663.82

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Solution

The fourth proportional to 7,860.78, 11,794.41 and 2,663.82 is: 3,996.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.78 : 11,794.41 = 2,663.82 : x
  2. Step 2: Convert to fraction form
    7,860.78/11,794.41 = 2,663.82/x
  3. Step 3: Cross multiply
    7,860.78x = 11,794.41 × 2,663.82
  4. Step 4: Simplify right side
    7,860.78x = 31,418,185.25
  5. Step 5: Solve for x
    x = 31,418,185.25/7,860.78
  6. Step 6: Final answer
    x = 3,996.83

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1.5x scale

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.