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Finding the Fourth Proportional to 2,109.66, 3,163.94 and 628.53

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Solution

The fourth proportional to 2,109.66, 3,163.94 and 628.53 is: 942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.66 : 3,163.94 = 628.53 : x
  2. Step 2: Convert to fraction form
    2,109.66/3,163.94 = 628.53/x
  3. Step 3: Cross multiply
    2,109.66x = 3,163.94 × 628.53
  4. Step 4: Simplify right side
    2,109.66x = 1,988,628.07
  5. Step 5: Solve for x
    x = 1,988,628.07/2,109.66
  6. Step 6: Final answer
    x = 942.63

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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.