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Finding the Fourth Proportional to 3,894.45, 5,827.09 and 2,164.29

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Solution

The fourth proportional to 3,894.45, 5,827.09 and 2,164.29 is: 3,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.45 : 5,827.09 = 2,164.29 : x
  2. Step 2: Convert to fraction form
    3,894.45/5,827.09 = 2,164.29/x
  3. Step 3: Cross multiply
    3,894.45x = 5,827.09 × 2,164.29
  4. Step 4: Simplify right side
    3,894.45x = 12,611,512.62
  5. Step 5: Solve for x
    x = 12,611,512.62/3,894.45
  6. Step 6: Final answer
    x = 3,238.33

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1.5x scale

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.