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Finding the Fourth Proportional to 7,611.50, 11,414.22 and 2,928.90

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Solution

The fourth proportional to 7,611.50, 11,414.22 and 2,928.90 is: 4,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.50 : 11,414.22 = 2,928.90 : x
  2. Step 2: Convert to fraction form
    7,611.50/11,414.22 = 2,928.90/x
  3. Step 3: Cross multiply
    7,611.50x = 11,414.22 × 2,928.90
  4. Step 4: Simplify right side
    7,611.50x = 33,431,141.90
  5. Step 5: Solve for x
    x = 33,431,141.90/7,611.50
  6. Step 6: Final answer
    x = 4,392.19

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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.