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Finding the Fourth Proportional to 2,109, 3,163.47 and 548.86

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Solution

The fourth proportional to 2,109, 3,163.47 and 548.86 is: 823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109 : 3,163.47 = 548.86 : x
  2. Step 2: Convert to fraction form
    2,109/3,163.47 = 548.86/x
  3. Step 3: Cross multiply
    2,109x = 3,163.47 × 548.86
  4. Step 4: Simplify right side
    2,109x = 1,736,302.14
  5. Step 5: Solve for x
    x = 1,736,302.14/2,109
  6. Step 6: Final answer
    x = 823.28

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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.