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Finding the Fourth Proportional to 31,382.95, 47,074.81 and 9,196.78

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Solution

The fourth proportional to 31,382.95, 47,074.81 and 9,196.78 is: 13,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.95 : 47,074.81 = 9,196.78 : x
  2. Step 2: Convert to fraction form
    31,382.95/47,074.81 = 9,196.78/x
  3. Step 3: Cross multiply
    31,382.95x = 47,074.81 × 9,196.78
  4. Step 4: Simplify right side
    31,382.95x = 432,936,671.11
  5. Step 5: Solve for x
    x = 432,936,671.11/31,382.95
  6. Step 6: Final answer
    x = 13,795.28

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