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Finding the Fourth Proportional to 31,423.92, 47,128.56 and 13,884.16

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Solution

The fourth proportional to 31,423.92, 47,128.56 and 13,884.16 is: 20,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,423.92 : 47,128.56 = 13,884.16 : x
  2. Step 2: Convert to fraction form
    31,423.92/47,128.56 = 13,884.16/x
  3. Step 3: Cross multiply
    31,423.92x = 47,128.56 × 13,884.16
  4. Step 4: Simplify right side
    31,423.92x = 654,340,467.61
  5. Step 5: Solve for x
    x = 654,340,467.61/31,423.92
  6. Step 6: Final answer
    x = 20,823.01

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