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Finding the Fourth Proportional to 7,452.78, 10,286.09 and 4,310.78

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Solution

The fourth proportional to 7,452.78, 10,286.09 and 4,310.78 is: 5,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.78 : 10,286.09 = 4,310.78 : x
  2. Step 2: Convert to fraction form
    7,452.78/10,286.09 = 4,310.78/x
  3. Step 3: Cross multiply
    7,452.78x = 10,286.09 × 4,310.78
  4. Step 4: Simplify right side
    7,452.78x = 44,341,071.05
  5. Step 5: Solve for x
    x = 44,341,071.05/7,452.78
  6. Step 6: Final answer
    x = 5,949.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.