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Finding the Fourth Proportional to 3,912.93, 5,865.29 and 1,831.17

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Solution

The fourth proportional to 3,912.93, 5,865.29 and 1,831.17 is: 2,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.93 : 5,865.29 = 1,831.17 : x
  2. Step 2: Convert to fraction form
    3,912.93/5,865.29 = 1,831.17/x
  3. Step 3: Cross multiply
    3,912.93x = 5,865.29 × 1,831.17
  4. Step 4: Simplify right side
    3,912.93x = 10,740,333.93
  5. Step 5: Solve for x
    x = 10,740,333.93/3,912.93
  6. Step 6: Final answer
    x = 2,744.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.