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Finding the Fourth Proportional to 2,577.21, 3,865.82 and 629.42

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Solution

The fourth proportional to 2,577.21, 3,865.82 and 629.42 is: 944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.21 : 3,865.82 = 629.42 : x
  2. Step 2: Convert to fraction form
    2,577.21/3,865.82 = 629.42/x
  3. Step 3: Cross multiply
    2,577.21x = 3,865.82 × 629.42
  4. Step 4: Simplify right side
    2,577.21x = 2,433,201.95
  5. Step 5: Solve for x
    x = 2,433,201.95/2,577.21
  6. Step 6: Final answer
    x = 944.12

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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.