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Finding the Fourth Proportional to 2,089.88, 3,135.24 and 629.16

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Solution

The fourth proportional to 2,089.88, 3,135.24 and 629.16 is: 943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.88 : 3,135.24 = 629.16 : x
  2. Step 2: Convert to fraction form
    2,089.88/3,135.24 = 629.16/x
  3. Step 3: Cross multiply
    2,089.88x = 3,135.24 × 629.16
  4. Step 4: Simplify right side
    2,089.88x = 1,972,567.60
  5. Step 5: Solve for x
    x = 1,972,567.60/2,089.88
  6. Step 6: Final answer
    x = 943.87

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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.