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Finding the Fourth Proportional to 2,109.35, 3,163.80 and 648.41

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Solution

The fourth proportional to 2,109.35, 3,163.80 and 648.41 is: 972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.35 : 3,163.80 = 648.41 : x
  2. Step 2: Convert to fraction form
    2,109.35/3,163.80 = 648.41/x
  3. Step 3: Cross multiply
    2,109.35x = 3,163.80 × 648.41
  4. Step 4: Simplify right side
    2,109.35x = 2,051,439.56
  5. Step 5: Solve for x
    x = 2,051,439.56/2,109.35
  6. Step 6: Final answer
    x = 972.55

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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.