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Finding the Fourth Proportional to 13,824.50, 19,077.82 and 7,536.90

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Solution

The fourth proportional to 13,824.50, 19,077.82 and 7,536.90 is: 10,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.50 : 19,077.82 = 7,536.90 : x
  2. Step 2: Convert to fraction form
    13,824.50/19,077.82 = 7,536.90/x
  3. Step 3: Cross multiply
    13,824.50x = 19,077.82 × 7,536.90
  4. Step 4: Simplify right side
    13,824.50x = 143,787,621.56
  5. Step 5: Solve for x
    x = 143,787,621.56/13,824.50
  6. Step 6: Final answer
    x = 10,400.93

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