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Finding the Fourth Proportional to 6,442.95, 9,662.40 and 3,974.07

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Solution

The fourth proportional to 6,442.95, 9,662.40 and 3,974.07 is: 5,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.95 : 9,662.40 = 3,974.07 : x
  2. Step 2: Convert to fraction form
    6,442.95/9,662.40 = 3,974.07/x
  3. Step 3: Cross multiply
    6,442.95x = 9,662.40 × 3,974.07
  4. Step 4: Simplify right side
    6,442.95x = 38,399,053.97
  5. Step 5: Solve for x
    x = 38,399,053.97/6,442.95
  6. Step 6: Final answer
    x = 5,959.86

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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.