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Finding the Fourth Proportional to 2,169.20, 3,238.04 and 2,009

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Solution

The fourth proportional to 2,169.20, 3,238.04 and 2,009 is: 2,998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.20 : 3,238.04 = 2,009 : x
  2. Step 2: Convert to fraction form
    2,169.20/3,238.04 = 2,009/x
  3. Step 3: Cross multiply
    2,169.20x = 3,238.04 × 2,009
  4. Step 4: Simplify right side
    2,169.20x = 6,505,222.36
  5. Step 5: Solve for x
    x = 6,505,222.36/2,169.20
  6. Step 6: Final answer
    x = 2,998.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.