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Finding the Fourth Proportional to 7,676.86, 11,515.74 and 2,747.02

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Solution

The fourth proportional to 7,676.86, 11,515.74 and 2,747.02 is: 4,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.86 : 11,515.74 = 2,747.02 : x
  2. Step 2: Convert to fraction form
    7,676.86/11,515.74 = 2,747.02/x
  3. Step 3: Cross multiply
    7,676.86x = 11,515.74 × 2,747.02
  4. Step 4: Simplify right side
    7,676.86x = 31,633,968.09
  5. Step 5: Solve for x
    x = 31,633,968.09/7,676.86
  6. Step 6: Final answer
    x = 4,120.69

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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.