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Finding the Fourth Proportional to 4,831.42, 7,246.89 and 2,831.22

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Solution

The fourth proportional to 4,831.42, 7,246.89 and 2,831.22 is: 4,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.42 : 7,246.89 = 2,831.22 : x
  2. Step 2: Convert to fraction form
    4,831.42/7,246.89 = 2,831.22/x
  3. Step 3: Cross multiply
    4,831.42x = 7,246.89 × 2,831.22
  4. Step 4: Simplify right side
    4,831.42x = 20,517,539.91
  5. Step 5: Solve for x
    x = 20,517,539.91/4,831.42
  6. Step 6: Final answer
    x = 4,246.69

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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.