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Finding the Fourth Proportional to 2,863.78, 4,291.80 and 1,822.12

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Solution

The fourth proportional to 2,863.78, 4,291.80 and 1,822.12 is: 2,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.78 : 4,291.80 = 1,822.12 : x
  2. Step 2: Convert to fraction form
    2,863.78/4,291.80 = 1,822.12/x
  3. Step 3: Cross multiply
    2,863.78x = 4,291.80 × 1,822.12
  4. Step 4: Simplify right side
    2,863.78x = 7,820,174.62
  5. Step 5: Solve for x
    x = 7,820,174.62/2,863.78
  6. Step 6: Final answer
    x = 2,730.72

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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.