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Finding the Fourth Proportional to 7,480.53, 11,220.39 and 2,286

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Solution

The fourth proportional to 7,480.53, 11,220.39 and 2,286 is: 3,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480.53 : 11,220.39 = 2,286 : x
  2. Step 2: Convert to fraction form
    7,480.53/11,220.39 = 2,286/x
  3. Step 3: Cross multiply
    7,480.53x = 11,220.39 × 2,286
  4. Step 4: Simplify right side
    7,480.53x = 25,649,811.54
  5. Step 5: Solve for x
    x = 25,649,811.54/7,480.53
  6. Step 6: Final answer
    x = 3,428.88

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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.