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Finding the Fourth Proportional to 7,940, 11,915.46 and 2,745.88

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Solution

The fourth proportional to 7,940, 11,915.46 and 2,745.88 is: 4,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940 : 11,915.46 = 2,745.88 : x
  2. Step 2: Convert to fraction form
    7,940/11,915.46 = 2,745.88/x
  3. Step 3: Cross multiply
    7,940x = 11,915.46 × 2,745.88
  4. Step 4: Simplify right side
    7,940x = 32,718,423.30
  5. Step 5: Solve for x
    x = 32,718,423.30/7,940
  6. Step 6: Final answer
    x = 4,120.71

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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.