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Finding the Fourth Proportional to 3,857.49, 5,785.05 and 1,392

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Solution

The fourth proportional to 3,857.49, 5,785.05 and 1,392 is: 2,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.49 : 5,785.05 = 1,392 : x
  2. Step 2: Convert to fraction form
    3,857.49/5,785.05 = 1,392/x
  3. Step 3: Cross multiply
    3,857.49x = 5,785.05 × 1,392
  4. Step 4: Simplify right side
    3,857.49x = 8,052,782.64
  5. Step 5: Solve for x
    x = 8,052,782.64/3,857.49
  6. Step 6: Final answer
    x = 2,087.57

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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.