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Finding the Fourth Proportional to 7,993.04, 11,991.42 and 3,831.84

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Solution

The fourth proportional to 7,993.04, 11,991.42 and 3,831.84 is: 5,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.04 : 11,991.42 = 3,831.84 : x
  2. Step 2: Convert to fraction form
    7,993.04/11,991.42 = 3,831.84/x
  3. Step 3: Cross multiply
    7,993.04x = 11,991.42 × 3,831.84
  4. Step 4: Simplify right side
    7,993.04x = 45,949,202.81
  5. Step 5: Solve for x
    x = 45,949,202.81/7,993.04
  6. Step 6: Final answer
    x = 5,748.65

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Why These Related Problems?

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