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Finding the Fourth Proportional to 19,978, 29,968.44 and 7,666

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Solution

The fourth proportional to 19,978, 29,968.44 and 7,666 is: 11,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978 : 29,968.44 = 7,666 : x
  2. Step 2: Convert to fraction form
    19,978/29,968.44 = 7,666/x
  3. Step 3: Cross multiply
    19,978x = 29,968.44 × 7,666
  4. Step 4: Simplify right side
    19,978x = 229,738,061.04
  5. Step 5: Solve for x
    x = 229,738,061.04/19,978
  6. Step 6: Final answer
    x = 11,499.55

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