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Finding the Fourth Proportional to 12,978, 19,479.96 and 9,478.80

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Solution

The fourth proportional to 12,978, 19,479.96 and 9,478.80 is: 14,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,978 : 19,479.96 = 9,478.80 : x
  2. Step 2: Convert to fraction form
    12,978/19,479.96 = 9,478.80/x
  3. Step 3: Cross multiply
    12,978x = 19,479.96 × 9,478.80
  4. Step 4: Simplify right side
    12,978x = 184,646,644.85
  5. Step 5: Solve for x
    x = 184,646,644.85/12,978
  6. Step 6: Final answer
    x = 14,227.67

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