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Finding the Fourth Proportional to 3,986.64, 5,981.13 and 1,646.78

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Solution

The fourth proportional to 3,986.64, 5,981.13 and 1,646.78 is: 2,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.64 : 5,981.13 = 1,646.78 : x
  2. Step 2: Convert to fraction form
    3,986.64/5,981.13 = 1,646.78/x
  3. Step 3: Cross multiply
    3,986.64x = 5,981.13 × 1,646.78
  4. Step 4: Simplify right side
    3,986.64x = 9,849,611.89
  5. Step 5: Solve for x
    x = 9,849,611.89/3,986.64
  6. Step 6: Final answer
    x = 2,470.65

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