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Finding the Fourth Proportional to 10,438.44, 15,657.84 and 4,199.12

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Solution

The fourth proportional to 10,438.44, 15,657.84 and 4,199.12 is: 6,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.44 : 15,657.84 = 4,199.12 : x
  2. Step 2: Convert to fraction form
    10,438.44/15,657.84 = 4,199.12/x
  3. Step 3: Cross multiply
    10,438.44x = 15,657.84 × 4,199.12
  4. Step 4: Simplify right side
    10,438.44x = 65,749,149.10
  5. Step 5: Solve for x
    x = 65,749,149.10/10,438.44
  6. Step 6: Final answer
    x = 6,298.75

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