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Finding the Fourth Proportional to 7,717, 11,576.04 and 3,100

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Solution

The fourth proportional to 7,717, 11,576.04 and 3,100 is: 4,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717 : 11,576.04 = 3,100 : x
  2. Step 2: Convert to fraction form
    7,717/11,576.04 = 3,100/x
  3. Step 3: Cross multiply
    7,717x = 11,576.04 × 3,100
  4. Step 4: Simplify right side
    7,717x = 35,885,724
  5. Step 5: Solve for x
    x = 35,885,724/7,717
  6. Step 6: Final answer
    x = 4,650.22

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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.