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Finding the Fourth Proportional to 7,211.26, 10,820.14 and 3,919.42

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Solution

The fourth proportional to 7,211.26, 10,820.14 and 3,919.42 is: 5,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.26 : 10,820.14 = 3,919.42 : x
  2. Step 2: Convert to fraction form
    7,211.26/10,820.14 = 3,919.42/x
  3. Step 3: Cross multiply
    7,211.26x = 10,820.14 × 3,919.42
  4. Step 4: Simplify right side
    7,211.26x = 42,408,673.12
  5. Step 5: Solve for x
    x = 42,408,673.12/7,211.26
  6. Step 6: Final answer
    x = 5,880.90

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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.