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Finding the Fourth Proportional to 7,815.76, 11,729.28 and 3,072.62

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Solution

The fourth proportional to 7,815.76, 11,729.28 and 3,072.62 is: 4,611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.76 : 11,729.28 = 3,072.62 : x
  2. Step 2: Convert to fraction form
    7,815.76/11,729.28 = 3,072.62/x
  3. Step 3: Cross multiply
    7,815.76x = 11,729.28 × 3,072.62
  4. Step 4: Simplify right side
    7,815.76x = 36,039,620.31
  5. Step 5: Solve for x
    x = 36,039,620.31/7,815.76
  6. Step 6: Final answer
    x = 4,611.15

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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.