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Finding the Fourth Proportional to 3,878.46, 5,814.22 and 1,411.54

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Solution

The fourth proportional to 3,878.46, 5,814.22 and 1,411.54 is: 2,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.46 : 5,814.22 = 1,411.54 : x
  2. Step 2: Convert to fraction form
    3,878.46/5,814.22 = 1,411.54/x
  3. Step 3: Cross multiply
    3,878.46x = 5,814.22 × 1,411.54
  4. Step 4: Simplify right side
    3,878.46x = 8,206,967.97
  5. Step 5: Solve for x
    x = 8,206,967.97/3,878.46
  6. Step 6: Final answer
    x = 2,116.04

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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.