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Finding the Fourth Proportional to 20,978.85, 31,473.70 and 7,831.34

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Solution

The fourth proportional to 20,978.85, 31,473.70 and 7,831.34 is: 11,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.85 : 31,473.70 = 7,831.34 : x
  2. Step 2: Convert to fraction form
    20,978.85/31,473.70 = 7,831.34/x
  3. Step 3: Cross multiply
    20,978.85x = 31,473.70 × 7,831.34
  4. Step 4: Simplify right side
    20,978.85x = 246,481,068.81
  5. Step 5: Solve for x
    x = 246,481,068.81/20,978.85
  6. Step 6: Final answer
    x = 11,749.03

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