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Finding the Fourth Proportional to 3,863.22, 5,792.94 and 1,397.67

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Solution

The fourth proportional to 3,863.22, 5,792.94 and 1,397.67 is: 2,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.22 : 5,792.94 = 1,397.67 : x
  2. Step 2: Convert to fraction form
    3,863.22/5,792.94 = 1,397.67/x
  3. Step 3: Cross multiply
    3,863.22x = 5,792.94 × 1,397.67
  4. Step 4: Simplify right side
    3,863.22x = 8,096,618.45
  5. Step 5: Solve for x
    x = 8,096,618.45/3,863.22
  6. Step 6: Final answer
    x = 2,095.82

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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.