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Finding the Fourth Proportional to 2,109.42, 3,163.92 and 648.60

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Solution

The fourth proportional to 2,109.42, 3,163.92 and 648.60 is: 972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.42 : 3,163.92 = 648.60 : x
  2. Step 2: Convert to fraction form
    2,109.42/3,163.92 = 648.60/x
  3. Step 3: Cross multiply
    2,109.42x = 3,163.92 × 648.60
  4. Step 4: Simplify right side
    2,109.42x = 2,052,118.51
  5. Step 5: Solve for x
    x = 2,052,118.51/2,109.42
  6. Step 6: Final answer
    x = 972.84

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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.