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Finding the Fourth Proportional to 31,098.47, 46,647.90 and 7,724.97

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Solution

The fourth proportional to 31,098.47, 46,647.90 and 7,724.97 is: 11,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.47 : 46,647.90 = 7,724.97 : x
  2. Step 2: Convert to fraction form
    31,098.47/46,647.90 = 7,724.97/x
  3. Step 3: Cross multiply
    31,098.47x = 46,647.90 × 7,724.97
  4. Step 4: Simplify right side
    31,098.47x = 360,353,628.06
  5. Step 5: Solve for x
    x = 360,353,628.06/31,098.47
  6. Step 6: Final answer
    x = 11,587.51

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