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Finding the Fourth Proportional to 3,811.96, 5,714.28 and 1,863.10

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Solution

The fourth proportional to 3,811.96, 5,714.28 and 1,863.10 is: 2,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.96 : 5,714.28 = 1,863.10 : x
  2. Step 2: Convert to fraction form
    3,811.96/5,714.28 = 1,863.10/x
  3. Step 3: Cross multiply
    3,811.96x = 5,714.28 × 1,863.10
  4. Step 4: Simplify right side
    3,811.96x = 10,646,275.07
  5. Step 5: Solve for x
    x = 10,646,275.07/3,811.96
  6. Step 6: Final answer
    x = 2,792.86

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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.