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Finding the Fourth Proportional to 7,071.57, 9,758.81 and 3,884.83

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Solution

The fourth proportional to 7,071.57, 9,758.81 and 3,884.83 is: 5,361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.57 : 9,758.81 = 3,884.83 : x
  2. Step 2: Convert to fraction form
    7,071.57/9,758.81 = 3,884.83/x
  3. Step 3: Cross multiply
    7,071.57x = 9,758.81 × 3,884.83
  4. Step 4: Simplify right side
    7,071.57x = 37,911,303.17
  5. Step 5: Solve for x
    x = 37,911,303.17/7,071.57
  6. Step 6: Final answer
    x = 5,361.09

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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.