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Finding the Fourth Proportional to 3,863.89, 5,333.07 and 2,292.88

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Solution

The fourth proportional to 3,863.89, 5,333.07 and 2,292.88 is: 3,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.89 : 5,333.07 = 2,292.88 : x
  2. Step 2: Convert to fraction form
    3,863.89/5,333.07 = 2,292.88/x
  3. Step 3: Cross multiply
    3,863.89x = 5,333.07 × 2,292.88
  4. Step 4: Simplify right side
    3,863.89x = 12,228,089.54
  5. Step 5: Solve for x
    x = 12,228,089.54/3,863.89
  6. Step 6: Final answer
    x = 3,164.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.