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Finding the Fourth Proportional to 14,116.82, 19,482.09 and 7,829.78

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Solution

The fourth proportional to 14,116.82, 19,482.09 and 7,829.78 is: 10,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.82 : 19,482.09 = 7,829.78 : x
  2. Step 2: Convert to fraction form
    14,116.82/19,482.09 = 7,829.78/x
  3. Step 3: Cross multiply
    14,116.82x = 19,482.09 × 7,829.78
  4. Step 4: Simplify right side
    14,116.82x = 152,540,478.64
  5. Step 5: Solve for x
    x = 152,540,478.64/14,116.82
  6. Step 6: Final answer
    x = 10,805.58

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