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Finding the Fourth Proportional to 15,198.71, 20,976.11 and 9,228.80

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Solution

The fourth proportional to 15,198.71, 20,976.11 and 9,228.80 is: 12,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.71 : 20,976.11 = 9,228.80 : x
  2. Step 2: Convert to fraction form
    15,198.71/20,976.11 = 9,228.80/x
  3. Step 3: Cross multiply
    15,198.71x = 20,976.11 × 9,228.80
  4. Step 4: Simplify right side
    15,198.71x = 193,584,399.48
  5. Step 5: Solve for x
    x = 193,584,399.48/15,198.71
  6. Step 6: Final answer
    x = 12,736.90

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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.