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Finding the Fourth Proportional to 3,790.80, 5,671.62 and 2,821.23

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Solution

The fourth proportional to 3,790.80, 5,671.62 and 2,821.23 is: 4,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.80 : 5,671.62 = 2,821.23 : x
  2. Step 2: Convert to fraction form
    3,790.80/5,671.62 = 2,821.23/x
  3. Step 3: Cross multiply
    3,790.80x = 5,671.62 × 2,821.23
  4. Step 4: Simplify right side
    3,790.80x = 16,000,944.49
  5. Step 5: Solve for x
    x = 16,000,944.49/3,790.80
  6. Step 6: Final answer
    x = 4,220.99

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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.