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Finding the Fourth Proportional to 3,857.70, 5,783.07 and 1,390.78

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Solution

The fourth proportional to 3,857.70, 5,783.07 and 1,390.78 is: 2,084.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.70 : 5,783.07 = 1,390.78 : x
  2. Step 2: Convert to fraction form
    3,857.70/5,783.07 = 1,390.78/x
  3. Step 3: Cross multiply
    3,857.70x = 5,783.07 × 1,390.78
  4. Step 4: Simplify right side
    3,857.70x = 8,042,978.09
  5. Step 5: Solve for x
    x = 8,042,978.09/3,857.70
  6. Step 6: Final answer
    x = 2,084.92

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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.