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Finding the Fourth Proportional to 6,974.88, 9,622.99 and 3,949.59

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Solution

The fourth proportional to 6,974.88, 9,622.99 and 3,949.59 is: 5,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.88 : 9,622.99 = 3,949.59 : x
  2. Step 2: Convert to fraction form
    6,974.88/9,622.99 = 3,949.59/x
  3. Step 3: Cross multiply
    6,974.88x = 9,622.99 × 3,949.59
  4. Step 4: Simplify right side
    6,974.88x = 38,006,797.21
  5. Step 5: Solve for x
    x = 38,006,797.21/6,974.88
  6. Step 6: Final answer
    x = 5,449.10

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