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Finding the Fourth Proportional to 3,857.79, 5,786.70 and 1,084.77

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Solution

The fourth proportional to 3,857.79, 5,786.70 and 1,084.77 is: 1,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.79 : 5,786.70 = 1,084.77 : x
  2. Step 2: Convert to fraction form
    3,857.79/5,786.70 = 1,084.77/x
  3. Step 3: Cross multiply
    3,857.79x = 5,786.70 × 1,084.77
  4. Step 4: Simplify right side
    3,857.79x = 6,277,238.56
  5. Step 5: Solve for x
    x = 6,277,238.56/3,857.79
  6. Step 6: Final answer
    x = 1,627.16

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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.