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Finding the Fourth Proportional to 3,838.75, 5,730.10 and 3,294.43

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Solution

The fourth proportional to 3,838.75, 5,730.10 and 3,294.43 is: 4,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.75 : 5,730.10 = 3,294.43 : x
  2. Step 2: Convert to fraction form
    3,838.75/5,730.10 = 3,294.43/x
  3. Step 3: Cross multiply
    3,838.75x = 5,730.10 × 3,294.43
  4. Step 4: Simplify right side
    3,838.75x = 18,877,413.34
  5. Step 5: Solve for x
    x = 18,877,413.34/3,838.75
  6. Step 6: Final answer
    x = 4,917.59

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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.