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Finding the Fourth Proportional to 3,977.22, 5,965.54 and 1,636.60

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Solution

The fourth proportional to 3,977.22, 5,965.54 and 1,636.60 is: 2,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.22 : 5,965.54 = 1,636.60 : x
  2. Step 2: Convert to fraction form
    3,977.22/5,965.54 = 1,636.60/x
  3. Step 3: Cross multiply
    3,977.22x = 5,965.54 × 1,636.60
  4. Step 4: Simplify right side
    3,977.22x = 9,763,202.76
  5. Step 5: Solve for x
    x = 9,763,202.76/3,977.22
  6. Step 6: Final answer
    x = 2,454.78

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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.