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Finding the Fourth Proportional to 2,109.48, 3,163.86 and 648.96

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Solution

The fourth proportional to 2,109.48, 3,163.86 and 648.96 is: 973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.48 : 3,163.86 = 648.96 : x
  2. Step 2: Convert to fraction form
    2,109.48/3,163.86 = 648.96/x
  3. Step 3: Cross multiply
    2,109.48x = 3,163.86 × 648.96
  4. Step 4: Simplify right side
    2,109.48x = 2,053,218.59
  5. Step 5: Solve for x
    x = 2,053,218.59/2,109.48
  6. Step 6: Final answer
    x = 973.33

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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.