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Finding the Fourth Proportional to 10,978, 15,149.64 and 6,010

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Solution

The fourth proportional to 10,978, 15,149.64 and 6,010 is: 8,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978 : 15,149.64 = 6,010 : x
  2. Step 2: Convert to fraction form
    10,978/15,149.64 = 6,010/x
  3. Step 3: Cross multiply
    10,978x = 15,149.64 × 6,010
  4. Step 4: Simplify right side
    10,978x = 91,049,336.40
  5. Step 5: Solve for x
    x = 91,049,336.40/10,978
  6. Step 6: Final answer
    x = 8,293.80

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