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Finding the Fourth Proportional to 4,139.37, 6,211.49 and 2,968.11

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Solution

The fourth proportional to 4,139.37, 6,211.49 and 2,968.11 is: 4,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.37 : 6,211.49 = 2,968.11 : x
  2. Step 2: Convert to fraction form
    4,139.37/6,211.49 = 2,968.11/x
  3. Step 3: Cross multiply
    4,139.37x = 6,211.49 × 2,968.11
  4. Step 4: Simplify right side
    4,139.37x = 18,436,370.74
  5. Step 5: Solve for x
    x = 18,436,370.74/4,139.37
  6. Step 6: Final answer
    x = 4,453.91

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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.