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Finding the Fourth Proportional to 13,835.96, 20,738.53 and 5,513.82

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Solution

The fourth proportional to 13,835.96, 20,738.53 and 5,513.82 is: 8,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.96 : 20,738.53 = 5,513.82 : x
  2. Step 2: Convert to fraction form
    13,835.96/20,738.53 = 5,513.82/x
  3. Step 3: Cross multiply
    13,835.96x = 20,738.53 × 5,513.82
  4. Step 4: Simplify right side
    13,835.96x = 114,348,567.26
  5. Step 5: Solve for x
    x = 114,348,567.26/13,835.96
  6. Step 6: Final answer
    x = 8,264.59

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