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Finding the Fourth Proportional to 7,676.49, 11,516.26 and 3,516.64

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Solution

The fourth proportional to 7,676.49, 11,516.26 and 3,516.64 is: 5,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.49 : 11,516.26 = 3,516.64 : x
  2. Step 2: Convert to fraction form
    7,676.49/11,516.26 = 3,516.64/x
  3. Step 3: Cross multiply
    7,676.49x = 11,516.26 × 3,516.64
  4. Step 4: Simplify right side
    7,676.49x = 40,498,540.57
  5. Step 5: Solve for x
    x = 40,498,540.57/7,676.49
  6. Step 6: Final answer
    x = 5,275.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.