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Finding the Fourth Proportional to 3,893.75, 5,837.15 and 1,427.99

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Solution

The fourth proportional to 3,893.75, 5,837.15 and 1,427.99 is: 2,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.75 : 5,837.15 = 1,427.99 : x
  2. Step 2: Convert to fraction form
    3,893.75/5,837.15 = 1,427.99/x
  3. Step 3: Cross multiply
    3,893.75x = 5,837.15 × 1,427.99
  4. Step 4: Simplify right side
    3,893.75x = 8,335,391.01
  5. Step 5: Solve for x
    x = 8,335,391.01/3,893.75
  6. Step 6: Final answer
    x = 2,140.71

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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.