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Finding the Fourth Proportional to 3,836.76, 5,750.46 and 1,640.85

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Solution

The fourth proportional to 3,836.76, 5,750.46 and 1,640.85 is: 2,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.76 : 5,750.46 = 1,640.85 : x
  2. Step 2: Convert to fraction form
    3,836.76/5,750.46 = 1,640.85/x
  3. Step 3: Cross multiply
    3,836.76x = 5,750.46 × 1,640.85
  4. Step 4: Simplify right side
    3,836.76x = 9,435,642.29
  5. Step 5: Solve for x
    x = 9,435,642.29/3,836.76
  6. Step 6: Final answer
    x = 2,459.27

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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.