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Finding the Fourth Proportional to 7,620.66, 11,431 and 2,687.62

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Solution

The fourth proportional to 7,620.66, 11,431 and 2,687.62 is: 4,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.66 : 11,431 = 2,687.62 : x
  2. Step 2: Convert to fraction form
    7,620.66/11,431 = 2,687.62/x
  3. Step 3: Cross multiply
    7,620.66x = 11,431 × 2,687.62
  4. Step 4: Simplify right side
    7,620.66x = 30,722,184.22
  5. Step 5: Solve for x
    x = 30,722,184.22/7,620.66
  6. Step 6: Final answer
    x = 4,031.43

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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.