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Finding the Fourth Proportional to 2,109.53, 3,163.92 and 648.29

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Solution

The fourth proportional to 2,109.53, 3,163.92 and 648.29 is: 972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.53 : 3,163.92 = 648.29 : x
  2. Step 2: Convert to fraction form
    2,109.53/3,163.92 = 648.29/x
  3. Step 3: Cross multiply
    2,109.53x = 3,163.92 × 648.29
  4. Step 4: Simplify right side
    2,109.53x = 2,051,121.88
  5. Step 5: Solve for x
    x = 2,051,121.88/2,109.53
  6. Step 6: Final answer
    x = 972.31

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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.