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Finding the Fourth Proportional to 3,894.92, 5,864.87 and 3,208.04

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Solution

The fourth proportional to 3,894.92, 5,864.87 and 3,208.04 is: 4,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.92 : 5,864.87 = 3,208.04 : x
  2. Step 2: Convert to fraction form
    3,894.92/5,864.87 = 3,208.04/x
  3. Step 3: Cross multiply
    3,894.92x = 5,864.87 × 3,208.04
  4. Step 4: Simplify right side
    3,894.92x = 18,814,737.55
  5. Step 5: Solve for x
    x = 18,814,737.55/3,894.92
  6. Step 6: Final answer
    x = 4,830.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.