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Finding the Fourth Proportional to 3,540.76, 5,310.38 and 1,348.90

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Solution

The fourth proportional to 3,540.76, 5,310.38 and 1,348.90 is: 2,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.76 : 5,310.38 = 1,348.90 : x
  2. Step 2: Convert to fraction form
    3,540.76/5,310.38 = 1,348.90/x
  3. Step 3: Cross multiply
    3,540.76x = 5,310.38 × 1,348.90
  4. Step 4: Simplify right side
    3,540.76x = 7,163,171.58
  5. Step 5: Solve for x
    x = 7,163,171.58/3,540.76
  6. Step 6: Final answer
    x = 2,023.06

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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.