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Finding the Fourth Proportional to 3,542.16, 4,910.46 and 3,354.80

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Solution

The fourth proportional to 3,542.16, 4,910.46 and 3,354.80 is: 4,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.16 : 4,910.46 = 3,354.80 : x
  2. Step 2: Convert to fraction form
    3,542.16/4,910.46 = 3,354.80/x
  3. Step 3: Cross multiply
    3,542.16x = 4,910.46 × 3,354.80
  4. Step 4: Simplify right side
    3,542.16x = 16,473,611.21
  5. Step 5: Solve for x
    x = 16,473,611.21/3,542.16
  6. Step 6: Final answer
    x = 4,650.72

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.