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Finding the Fourth Proportional to 7,840.45, 11,764.46 and 3,891.97

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Solution

The fourth proportional to 7,840.45, 11,764.46 and 3,891.97 is: 5,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.45 : 11,764.46 = 3,891.97 : x
  2. Step 2: Convert to fraction form
    7,840.45/11,764.46 = 3,891.97/x
  3. Step 3: Cross multiply
    7,840.45x = 11,764.46 × 3,891.97
  4. Step 4: Simplify right side
    7,840.45x = 45,786,925.39
  5. Step 5: Solve for x
    x = 45,786,925.39/7,840.45
  6. Step 6: Final answer
    x = 5,839.83

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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.