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Finding the Fourth Proportional to 3,823.82, 5,737.38 and 1,485.44

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Solution

The fourth proportional to 3,823.82, 5,737.38 and 1,485.44 is: 2,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.82 : 5,737.38 = 1,485.44 : x
  2. Step 2: Convert to fraction form
    3,823.82/5,737.38 = 1,485.44/x
  3. Step 3: Cross multiply
    3,823.82x = 5,737.38 × 1,485.44
  4. Step 4: Simplify right side
    3,823.82x = 8,522,533.75
  5. Step 5: Solve for x
    x = 8,522,533.75/3,823.82
  6. Step 6: Final answer
    x = 2,228.80

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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.