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Finding the Fourth Proportional to 3,856.70, 5,786.40 and 1,883.09

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Solution

The fourth proportional to 3,856.70, 5,786.40 and 1,883.09 is: 2,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.70 : 5,786.40 = 1,883.09 : x
  2. Step 2: Convert to fraction form
    3,856.70/5,786.40 = 1,883.09/x
  3. Step 3: Cross multiply
    3,856.70x = 5,786.40 × 1,883.09
  4. Step 4: Simplify right side
    3,856.70x = 10,896,311.98
  5. Step 5: Solve for x
    x = 10,896,311.98/3,856.70
  6. Step 6: Final answer
    x = 2,825.29

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1.5x scale

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.