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Finding the Fourth Proportional to 3,540, 5,310.22 and 942.88

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Solution

The fourth proportional to 3,540, 5,310.22 and 942.88 is: 1,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540 : 5,310.22 = 942.88 : x
  2. Step 2: Convert to fraction form
    3,540/5,310.22 = 942.88/x
  3. Step 3: Cross multiply
    3,540x = 5,310.22 × 942.88
  4. Step 4: Simplify right side
    3,540x = 5,006,900.23
  5. Step 5: Solve for x
    x = 5,006,900.23/3,540
  6. Step 6: Final answer
    x = 1,414.38

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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.