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Finding the Fourth Proportional to 3,577.31, 5,361.63 and 1,819.68

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Solution

The fourth proportional to 3,577.31, 5,361.63 and 1,819.68 is: 2,727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.31 : 5,361.63 = 1,819.68 : x
  2. Step 2: Convert to fraction form
    3,577.31/5,361.63 = 1,819.68/x
  3. Step 3: Cross multiply
    3,577.31x = 5,361.63 × 1,819.68
  4. Step 4: Simplify right side
    3,577.31x = 9,756,450.88
  5. Step 5: Solve for x
    x = 9,756,450.88/3,577.31
  6. Step 6: Final answer
    x = 2,727.32

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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.