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Finding the Fourth Proportional to 6,620.43, 9,927.73 and 3,111.43

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Solution

The fourth proportional to 6,620.43, 9,927.73 and 3,111.43 is: 4,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620.43 : 9,927.73 = 3,111.43 : x
  2. Step 2: Convert to fraction form
    6,620.43/9,927.73 = 3,111.43/x
  3. Step 3: Cross multiply
    6,620.43x = 9,927.73 × 3,111.43
  4. Step 4: Simplify right side
    6,620.43x = 30,889,436.95
  5. Step 5: Solve for x
    x = 30,889,436.95/6,620.43
  6. Step 6: Final answer
    x = 4,665.78

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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.