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Finding the Fourth Proportional to 2,109.24, 3,163.74 and 648.39

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Solution

The fourth proportional to 2,109.24, 3,163.74 and 648.39 is: 972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.24 : 3,163.74 = 648.39 : x
  2. Step 2: Convert to fraction form
    2,109.24/3,163.74 = 648.39/x
  3. Step 3: Cross multiply
    2,109.24x = 3,163.74 × 648.39
  4. Step 4: Simplify right side
    2,109.24x = 2,051,321.56
  5. Step 5: Solve for x
    x = 2,051,321.56/2,109.24
  6. Step 6: Final answer
    x = 972.54

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1.5x scale

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.