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Finding the Fourth Proportional to 13,704.48, 20,558.16 and 4,472.16

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Solution

The fourth proportional to 13,704.48, 20,558.16 and 4,472.16 is: 6,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.48 : 20,558.16 = 4,472.16 : x
  2. Step 2: Convert to fraction form
    13,704.48/20,558.16 = 4,472.16/x
  3. Step 3: Cross multiply
    13,704.48x = 20,558.16 × 4,472.16
  4. Step 4: Simplify right side
    13,704.48x = 91,939,380.83
  5. Step 5: Solve for x
    x = 91,939,380.83/13,704.48
  6. Step 6: Final answer
    x = 6,708.71

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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.