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Finding the Fourth Proportional to 3,980, 5,969.64 and 1,382.96

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Solution

The fourth proportional to 3,980, 5,969.64 and 1,382.96 is: 2,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980 : 5,969.64 = 1,382.96 : x
  2. Step 2: Convert to fraction form
    3,980/5,969.64 = 1,382.96/x
  3. Step 3: Cross multiply
    3,980x = 5,969.64 × 1,382.96
  4. Step 4: Simplify right side
    3,980x = 8,255,773.33
  5. Step 5: Solve for x
    x = 8,255,773.33/3,980
  6. Step 6: Final answer
    x = 2,074.31

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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.