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Finding the Fourth Proportional to 3,856.70, 5,785.05 and 3,629.90

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Solution

The fourth proportional to 3,856.70, 5,785.05 and 3,629.90 is: 5,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.70 : 5,785.05 = 3,629.90 : x
  2. Step 2: Convert to fraction form
    3,856.70/5,785.05 = 3,629.90/x
  3. Step 3: Cross multiply
    3,856.70x = 5,785.05 × 3,629.90
  4. Step 4: Simplify right side
    3,856.70x = 20,999,153.00
  5. Step 5: Solve for x
    x = 20,999,153.00/3,856.70
  6. Step 6: Final answer
    x = 5,444.85

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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.