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Finding the Fourth Proportional to 3,469.51, 5,205.03 and 1,619.61

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Solution

The fourth proportional to 3,469.51, 5,205.03 and 1,619.61 is: 2,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.51 : 5,205.03 = 1,619.61 : x
  2. Step 2: Convert to fraction form
    3,469.51/5,205.03 = 1,619.61/x
  3. Step 3: Cross multiply
    3,469.51x = 5,205.03 × 1,619.61
  4. Step 4: Simplify right side
    3,469.51x = 8,430,110.54
  5. Step 5: Solve for x
    x = 8,430,110.54/3,469.51
  6. Step 6: Final answer
    x = 2,429.77

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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.