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Finding the Fourth Proportional to 3,676.61, 5,069.09 and 3,071.20

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Solution

The fourth proportional to 3,676.61, 5,069.09 and 3,071.20 is: 4,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.61 : 5,069.09 = 3,071.20 : x
  2. Step 2: Convert to fraction form
    3,676.61/5,069.09 = 3,071.20/x
  3. Step 3: Cross multiply
    3,676.61x = 5,069.09 × 3,071.20
  4. Step 4: Simplify right side
    3,676.61x = 15,568,184.21
  5. Step 5: Solve for x
    x = 15,568,184.21/3,676.61
  6. Step 6: Final answer
    x = 4,234.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.