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Finding the Fourth Proportional to 3,800.72, 5,693.88 and 1,850.96

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Solution

The fourth proportional to 3,800.72, 5,693.88 and 1,850.96 is: 2,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.72 : 5,693.88 = 1,850.96 : x
  2. Step 2: Convert to fraction form
    3,800.72/5,693.88 = 1,850.96/x
  3. Step 3: Cross multiply
    3,800.72x = 5,693.88 × 1,850.96
  4. Step 4: Simplify right side
    3,800.72x = 10,539,144.12
  5. Step 5: Solve for x
    x = 10,539,144.12/3,800.72
  6. Step 6: Final answer
    x = 2,772.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.