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Finding the Fourth Proportional to 3,857.43, 5,784.95 and 1,391.93

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Solution

The fourth proportional to 3,857.43, 5,784.95 and 1,391.93 is: 2,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.43 : 5,784.95 = 1,391.93 : x
  2. Step 2: Convert to fraction form
    3,857.43/5,784.95 = 1,391.93/x
  3. Step 3: Cross multiply
    3,857.43x = 5,784.95 × 1,391.93
  4. Step 4: Simplify right side
    3,857.43x = 8,052,252.68
  5. Step 5: Solve for x
    x = 8,052,252.68/3,857.43
  6. Step 6: Final answer
    x = 2,087.46

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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.