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Finding the Fourth Proportional to 3,999.71, 5,994.78 and 2,827.94

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Solution

The fourth proportional to 3,999.71, 5,994.78 and 2,827.94 is: 4,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.71 : 5,994.78 = 2,827.94 : x
  2. Step 2: Convert to fraction form
    3,999.71/5,994.78 = 2,827.94/x
  3. Step 3: Cross multiply
    3,999.71x = 5,994.78 × 2,827.94
  4. Step 4: Simplify right side
    3,999.71x = 16,952,878.15
  5. Step 5: Solve for x
    x = 16,952,878.15/3,999.71
  6. Step 6: Final answer
    x = 4,238.53

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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.