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Finding the Fourth Proportional to 7,071, 10,611.36 and 2,454

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Solution

The fourth proportional to 7,071, 10,611.36 and 2,454 is: 3,682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071 : 10,611.36 = 2,454 : x
  2. Step 2: Convert to fraction form
    7,071/10,611.36 = 2,454/x
  3. Step 3: Cross multiply
    7,071x = 10,611.36 × 2,454
  4. Step 4: Simplify right side
    7,071x = 26,040,277.44
  5. Step 5: Solve for x
    x = 26,040,277.44/7,071
  6. Step 6: Final answer
    x = 3,682.69

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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.