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Finding the Fourth Proportional to 3,980.57, 5,965.98 and 1,380.47

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Solution

The fourth proportional to 3,980.57, 5,965.98 and 1,380.47 is: 2,069.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.57 : 5,965.98 = 1,380.47 : x
  2. Step 2: Convert to fraction form
    3,980.57/5,965.98 = 1,380.47/x
  3. Step 3: Cross multiply
    3,980.57x = 5,965.98 × 1,380.47
  4. Step 4: Simplify right side
    3,980.57x = 8,235,856.41
  5. Step 5: Solve for x
    x = 8,235,856.41/3,980.57
  6. Step 6: Final answer
    x = 2,069.01

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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.