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Finding the Fourth Proportional to 3,827.86, 5,743.63 and 2,855.86

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Solution

The fourth proportional to 3,827.86, 5,743.63 and 2,855.86 is: 4,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.86 : 5,743.63 = 2,855.86 : x
  2. Step 2: Convert to fraction form
    3,827.86/5,743.63 = 2,855.86/x
  3. Step 3: Cross multiply
    3,827.86x = 5,743.63 × 2,855.86
  4. Step 4: Simplify right side
    3,827.86x = 16,403,003.17
  5. Step 5: Solve for x
    x = 16,403,003.17/3,827.86
  6. Step 6: Final answer
    x = 4,285.16

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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.