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Finding the Fourth Proportional to 5,936.39, 8,189.86 and 3,811.46

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Solution

The fourth proportional to 5,936.39, 8,189.86 and 3,811.46 is: 5,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.39 : 8,189.86 = 3,811.46 : x
  2. Step 2: Convert to fraction form
    5,936.39/8,189.86 = 3,811.46/x
  3. Step 3: Cross multiply
    5,936.39x = 8,189.86 × 3,811.46
  4. Step 4: Simplify right side
    5,936.39x = 31,215,280.46
  5. Step 5: Solve for x
    x = 31,215,280.46/5,936.39
  6. Step 6: Final answer
    x = 5,258.29

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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.