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Finding the Fourth Proportional to 2,189.56, 3,283.98 and 629.21

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Solution

The fourth proportional to 2,189.56, 3,283.98 and 629.21 is: 943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.56 : 3,283.98 = 629.21 : x
  2. Step 2: Convert to fraction form
    2,189.56/3,283.98 = 629.21/x
  3. Step 3: Cross multiply
    2,189.56x = 3,283.98 × 629.21
  4. Step 4: Simplify right side
    2,189.56x = 2,066,301.12
  5. Step 5: Solve for x
    x = 2,066,301.12/2,189.56
  6. Step 6: Final answer
    x = 943.71

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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.