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Finding the Fourth Proportional to 5,162.38, 7,743.57 and 1,699.90

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Solution

The fourth proportional to 5,162.38, 7,743.57 and 1,699.90 is: 2,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.38 : 7,743.57 = 1,699.90 : x
  2. Step 2: Convert to fraction form
    5,162.38/7,743.57 = 1,699.90/x
  3. Step 3: Cross multiply
    5,162.38x = 7,743.57 × 1,699.90
  4. Step 4: Simplify right side
    5,162.38x = 13,163,247.43
  5. Step 5: Solve for x
    x = 13,163,247.43/5,162.38
  6. Step 6: Final answer
    x = 2,549.84

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