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Finding the Fourth Proportional to 2,189.75, 3,283.63 and 629.40

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Solution

The fourth proportional to 2,189.75, 3,283.63 and 629.40 is: 943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.75 : 3,283.63 = 629.40 : x
  2. Step 2: Convert to fraction form
    2,189.75/3,283.63 = 629.40/x
  3. Step 3: Cross multiply
    2,189.75x = 3,283.63 × 629.40
  4. Step 4: Simplify right side
    2,189.75x = 2,066,716.72
  5. Step 5: Solve for x
    x = 2,066,716.72/2,189.75
  6. Step 6: Final answer
    x = 943.81

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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.