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Finding the Fourth Proportional to 4,940.16, 6,819 and 2,950

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Solution

The fourth proportional to 4,940.16, 6,819 and 2,950 is: 4,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.16 : 6,819 = 2,950 : x
  2. Step 2: Convert to fraction form
    4,940.16/6,819 = 2,950/x
  3. Step 3: Cross multiply
    4,940.16x = 6,819 × 2,950
  4. Step 4: Simplify right side
    4,940.16x = 20,116,050
  5. Step 5: Solve for x
    x = 20,116,050/4,940.16
  6. Step 6: Final answer
    x = 4,071.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.