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Finding the Fourth Proportional to 15,199.80, 20,975.78 and 9,227.46

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Solution

The fourth proportional to 15,199.80, 20,975.78 and 9,227.46 is: 12,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,199.80 : 20,975.78 = 9,227.46 : x
  2. Step 2: Convert to fraction form
    15,199.80/20,975.78 = 9,227.46/x
  3. Step 3: Cross multiply
    15,199.80x = 20,975.78 × 9,227.46
  4. Step 4: Simplify right side
    15,199.80x = 193,553,170.92
  5. Step 5: Solve for x
    x = 193,553,170.92/15,199.80
  6. Step 6: Final answer
    x = 12,733.93

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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.