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Finding the Fourth Proportional to 5,165.38, 7,747.89 and 1,655.34

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Solution

The fourth proportional to 5,165.38, 7,747.89 and 1,655.34 is: 2,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.38 : 7,747.89 = 1,655.34 : x
  2. Step 2: Convert to fraction form
    5,165.38/7,747.89 = 1,655.34/x
  3. Step 3: Cross multiply
    5,165.38x = 7,747.89 × 1,655.34
  4. Step 4: Simplify right side
    5,165.38x = 12,825,392.23
  5. Step 5: Solve for x
    x = 12,825,392.23/5,165.38
  6. Step 6: Final answer
    x = 2,482.95

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