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Finding the Fourth Proportional to 3,840.89, 5,760.11 and 1,892.84

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Solution

The fourth proportional to 3,840.89, 5,760.11 and 1,892.84 is: 2,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.89 : 5,760.11 = 1,892.84 : x
  2. Step 2: Convert to fraction form
    3,840.89/5,760.11 = 1,892.84/x
  3. Step 3: Cross multiply
    3,840.89x = 5,760.11 × 1,892.84
  4. Step 4: Simplify right side
    3,840.89x = 10,902,942.54
  5. Step 5: Solve for x
    x = 10,902,942.54/3,840.89
  6. Step 6: Final answer
    x = 2,838.65

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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.