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Finding the Fourth Proportional to 7,231.36, 10,831.92 and 5,762.56

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Solution

The fourth proportional to 7,231.36, 10,831.92 and 5,762.56 is: 8,631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.36 : 10,831.92 = 5,762.56 : x
  2. Step 2: Convert to fraction form
    7,231.36/10,831.92 = 5,762.56/x
  3. Step 3: Cross multiply
    7,231.36x = 10,831.92 × 5,762.56
  4. Step 4: Simplify right side
    7,231.36x = 62,419,588.92
  5. Step 5: Solve for x
    x = 62,419,588.92/7,231.36
  6. Step 6: Final answer
    x = 8,631.79

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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.