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Finding the Fourth Proportional to 3,977.08, 5,965.80 and 1,380.22

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Solution

The fourth proportional to 3,977.08, 5,965.80 and 1,380.22 is: 2,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.08 : 5,965.80 = 1,380.22 : x
  2. Step 2: Convert to fraction form
    3,977.08/5,965.80 = 1,380.22/x
  3. Step 3: Cross multiply
    3,977.08x = 5,965.80 × 1,380.22
  4. Step 4: Simplify right side
    3,977.08x = 8,234,116.48
  5. Step 5: Solve for x
    x = 8,234,116.48/3,977.08
  6. Step 6: Final answer
    x = 2,070.39

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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.