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Finding the Fourth Proportional to 3,980.64, 5,965.20 and 2,245.60

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Solution

The fourth proportional to 3,980.64, 5,965.20 and 2,245.60 is: 3,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.64 : 5,965.20 = 2,245.60 : x
  2. Step 2: Convert to fraction form
    3,980.64/5,965.20 = 2,245.60/x
  3. Step 3: Cross multiply
    3,980.64x = 5,965.20 × 2,245.60
  4. Step 4: Simplify right side
    3,980.64x = 13,395,453.12
  5. Step 5: Solve for x
    x = 13,395,453.12/3,980.64
  6. Step 6: Final answer
    x = 3,365.15

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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.