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Finding the Fourth Proportional to 2,109.81, 3,164.43 and 629

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Solution

The fourth proportional to 2,109.81, 3,164.43 and 629 is: 943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.81 : 3,164.43 = 629 : x
  2. Step 2: Convert to fraction form
    2,109.81/3,164.43 = 629/x
  3. Step 3: Cross multiply
    2,109.81x = 3,164.43 × 629
  4. Step 4: Simplify right side
    2,109.81x = 1,990,426.47
  5. Step 5: Solve for x
    x = 1,990,426.47/2,109.81
  6. Step 6: Final answer
    x = 943.42

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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.