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Finding the Fourth Proportional to 7,071.09, 9,758.19 and 3,883.92

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Solution

The fourth proportional to 7,071.09, 9,758.19 and 3,883.92 is: 5,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.09 : 9,758.19 = 3,883.92 : x
  2. Step 2: Convert to fraction form
    7,071.09/9,758.19 = 3,883.92/x
  3. Step 3: Cross multiply
    7,071.09x = 9,758.19 × 3,883.92
  4. Step 4: Simplify right side
    7,071.09x = 37,900,029.30
  5. Step 5: Solve for x
    x = 37,900,029.30/7,071.09
  6. Step 6: Final answer
    x = 5,359.86

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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.