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Finding the Fourth Proportional to 4,657.21, 6,975.77 and 2,188.33

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Solution

The fourth proportional to 4,657.21, 6,975.77 and 2,188.33 is: 3,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.21 : 6,975.77 = 2,188.33 : x
  2. Step 2: Convert to fraction form
    4,657.21/6,975.77 = 2,188.33/x
  3. Step 3: Cross multiply
    4,657.21x = 6,975.77 × 2,188.33
  4. Step 4: Simplify right side
    4,657.21x = 15,265,286.76
  5. Step 5: Solve for x
    x = 15,265,286.76/4,657.21
  6. Step 6: Final answer
    x = 3,277.78

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