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Finding the Fourth Proportional to 4,940.98, 6,815.40 and 2,950

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Solution

The fourth proportional to 4,940.98, 6,815.40 and 2,950 is: 4,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.98 : 6,815.40 = 2,950 : x
  2. Step 2: Convert to fraction form
    4,940.98/6,815.40 = 2,950/x
  3. Step 3: Cross multiply
    4,940.98x = 6,815.40 × 2,950
  4. Step 4: Simplify right side
    4,940.98x = 20,105,430
  5. Step 5: Solve for x
    x = 20,105,430/4,940.98
  6. Step 6: Final answer
    x = 4,069.12

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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.