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Finding the Fourth Proportional to 5,768.69, 7,960.78 and 3,251.41

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Solution

The fourth proportional to 5,768.69, 7,960.78 and 3,251.41 is: 4,486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.69 : 7,960.78 = 3,251.41 : x
  2. Step 2: Convert to fraction form
    5,768.69/7,960.78 = 3,251.41/x
  3. Step 3: Cross multiply
    5,768.69x = 7,960.78 × 3,251.41
  4. Step 4: Simplify right side
    5,768.69x = 25,883,743.86
  5. Step 5: Solve for x
    x = 25,883,743.86/5,768.69
  6. Step 6: Final answer
    x = 4,486.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.