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Finding the Fourth Proportional to 3,857.25, 5,784.67 and 1,391.74

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Solution

The fourth proportional to 3,857.25, 5,784.67 and 1,391.74 is: 2,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.25 : 5,784.67 = 1,391.74 : x
  2. Step 2: Convert to fraction form
    3,857.25/5,784.67 = 1,391.74/x
  3. Step 3: Cross multiply
    3,857.25x = 5,784.67 × 1,391.74
  4. Step 4: Simplify right side
    3,857.25x = 8,050,776.58
  5. Step 5: Solve for x
    x = 8,050,776.58/3,857.25
  6. Step 6: Final answer
    x = 2,087.18

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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.