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Finding the Fourth Proportional to 3,879.64, 5,820.36 and 1,380.70

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Solution

The fourth proportional to 3,879.64, 5,820.36 and 1,380.70 is: 2,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.64 : 5,820.36 = 1,380.70 : x
  2. Step 2: Convert to fraction form
    3,879.64/5,820.36 = 1,380.70/x
  3. Step 3: Cross multiply
    3,879.64x = 5,820.36 × 1,380.70
  4. Step 4: Simplify right side
    3,879.64x = 8,036,171.05
  5. Step 5: Solve for x
    x = 8,036,171.05/3,879.64
  6. Step 6: Final answer
    x = 2,071.37

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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.