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Finding the Fourth Proportional to 3,458.91, 5,188.33 and 1,609

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Solution

The fourth proportional to 3,458.91, 5,188.33 and 1,609 is: 2,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.91 : 5,188.33 = 1,609 : x
  2. Step 2: Convert to fraction form
    3,458.91/5,188.33 = 1,609/x
  3. Step 3: Cross multiply
    3,458.91x = 5,188.33 × 1,609
  4. Step 4: Simplify right side
    3,458.91x = 8,348,022.97
  5. Step 5: Solve for x
    x = 8,348,022.97/3,458.91
  6. Step 6: Final answer
    x = 2,413.48

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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.