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Finding the Fourth Proportional to 13,816.44, 20,723.04 and 3,955.50

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Solution

The fourth proportional to 13,816.44, 20,723.04 and 3,955.50 is: 5,932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.44 : 20,723.04 = 3,955.50 : x
  2. Step 2: Convert to fraction form
    13,816.44/20,723.04 = 3,955.50/x
  3. Step 3: Cross multiply
    13,816.44x = 20,723.04 × 3,955.50
  4. Step 4: Simplify right side
    13,816.44x = 81,969,984.72
  5. Step 5: Solve for x
    x = 81,969,984.72/13,816.44
  6. Step 6: Final answer
    x = 5,932.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.