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Finding the Fourth Proportional to 7,071.32, 10,611.82 and 3,611

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Solution

The fourth proportional to 7,071.32, 10,611.82 and 3,611 is: 5,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.32 : 10,611.82 = 3,611 : x
  2. Step 2: Convert to fraction form
    7,071.32/10,611.82 = 3,611/x
  3. Step 3: Cross multiply
    7,071.32x = 10,611.82 × 3,611
  4. Step 4: Simplify right side
    7,071.32x = 38,319,282.02
  5. Step 5: Solve for x
    x = 38,319,282.02/7,071.32
  6. Step 6: Final answer
    x = 5,418.97

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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.