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Finding the Fourth Proportional to 7,784.88, 11,677.20 and 3,167.76

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Solution

The fourth proportional to 7,784.88, 11,677.20 and 3,167.76 is: 4,751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.88 : 11,677.20 = 3,167.76 : x
  2. Step 2: Convert to fraction form
    7,784.88/11,677.20 = 3,167.76/x
  3. Step 3: Cross multiply
    7,784.88x = 11,677.20 × 3,167.76
  4. Step 4: Simplify right side
    7,784.88x = 36,990,567.07
  5. Step 5: Solve for x
    x = 36,990,567.07/7,784.88
  6. Step 6: Final answer
    x = 4,751.59

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