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Finding the Fourth Proportional to 3,940.84, 5,911.41 and 1,019.15

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Solution

The fourth proportional to 3,940.84, 5,911.41 and 1,019.15 is: 1,528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.84 : 5,911.41 = 1,019.15 : x
  2. Step 2: Convert to fraction form
    3,940.84/5,911.41 = 1,019.15/x
  3. Step 3: Cross multiply
    3,940.84x = 5,911.41 × 1,019.15
  4. Step 4: Simplify right side
    3,940.84x = 6,024,583.94
  5. Step 5: Solve for x
    x = 6,024,583.94/3,940.84
  6. Step 6: Final answer
    x = 1,528.76

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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.