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Finding the Fourth Proportional to 3,940.65, 5,911.20 and 1,018.95

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Solution

The fourth proportional to 3,940.65, 5,911.20 and 1,018.95 is: 1,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.65 : 5,911.20 = 1,018.95 : x
  2. Step 2: Convert to fraction form
    3,940.65/5,911.20 = 1,018.95/x
  3. Step 3: Cross multiply
    3,940.65x = 5,911.20 × 1,018.95
  4. Step 4: Simplify right side
    3,940.65x = 6,023,217.24
  5. Step 5: Solve for x
    x = 6,023,217.24/3,940.65
  6. Step 6: Final answer
    x = 1,528.48

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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.