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Finding the Fourth Proportional to 3,977.82, 5,491.35 and 3,033.77

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Solution

The fourth proportional to 3,977.82, 5,491.35 and 3,033.77 is: 4,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.82 : 5,491.35 = 3,033.77 : x
  2. Step 2: Convert to fraction form
    3,977.82/5,491.35 = 3,033.77/x
  3. Step 3: Cross multiply
    3,977.82x = 5,491.35 × 3,033.77
  4. Step 4: Simplify right side
    3,977.82x = 16,659,465.43
  5. Step 5: Solve for x
    x = 16,659,465.43/3,977.82
  6. Step 6: Final answer
    x = 4,188.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.