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Finding the Fourth Proportional to 14,912.52, 20,578.86 and 8,198.16

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Solution

The fourth proportional to 14,912.52, 20,578.86 and 8,198.16 is: 11,313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.52 : 20,578.86 = 8,198.16 : x
  2. Step 2: Convert to fraction form
    14,912.52/20,578.86 = 8,198.16/x
  3. Step 3: Cross multiply
    14,912.52x = 20,578.86 × 8,198.16
  4. Step 4: Simplify right side
    14,912.52x = 168,708,786.90
  5. Step 5: Solve for x
    x = 168,708,786.90/14,912.52
  6. Step 6: Final answer
    x = 11,313.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.