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Finding the Fourth Proportional to 2,940.86, 4,411.30 and 994.42

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Solution

The fourth proportional to 2,940.86, 4,411.30 and 994.42 is: 1,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.86 : 4,411.30 = 994.42 : x
  2. Step 2: Convert to fraction form
    2,940.86/4,411.30 = 994.42/x
  3. Step 3: Cross multiply
    2,940.86x = 4,411.30 × 994.42
  4. Step 4: Simplify right side
    2,940.86x = 4,386,684.95
  5. Step 5: Solve for x
    x = 4,386,684.95/2,940.86
  6. Step 6: Final answer
    x = 1,491.63

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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.