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Finding the Fourth Proportional to 6,974.28, 9,622.92 and 4,143.74

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Solution

The fourth proportional to 6,974.28, 9,622.92 and 4,143.74 is: 5,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.28 : 9,622.92 = 4,143.74 : x
  2. Step 2: Convert to fraction form
    6,974.28/9,622.92 = 4,143.74/x
  3. Step 3: Cross multiply
    6,974.28x = 9,622.92 × 4,143.74
  4. Step 4: Simplify right side
    6,974.28x = 39,874,878.52
  5. Step 5: Solve for x
    x = 39,874,878.52/6,974.28
  6. Step 6: Final answer
    x = 5,717.42

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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.