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Finding the Fourth Proportional to 22,774.44, 31,430.80 and 13,824.22

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Solution

The fourth proportional to 22,774.44, 31,430.80 and 13,824.22 is: 19,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.44 : 31,430.80 = 13,824.22 : x
  2. Step 2: Convert to fraction form
    22,774.44/31,430.80 = 13,824.22/x
  3. Step 3: Cross multiply
    22,774.44x = 31,430.80 × 13,824.22
  4. Step 4: Simplify right side
    22,774.44x = 434,506,293.98
  5. Step 5: Solve for x
    x = 434,506,293.98/22,774.44
  6. Step 6: Final answer
    x = 19,078.68

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