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Finding the Fourth Proportional to 7,717.52, 11,576.78 and 3,100.52

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Solution

The fourth proportional to 7,717.52, 11,576.78 and 3,100.52 is: 4,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.52 : 11,576.78 = 3,100.52 : x
  2. Step 2: Convert to fraction form
    7,717.52/11,576.78 = 3,100.52/x
  3. Step 3: Cross multiply
    7,717.52x = 11,576.78 × 3,100.52
  4. Step 4: Simplify right side
    7,717.52x = 35,894,037.93
  5. Step 5: Solve for x
    x = 35,894,037.93/7,717.52
  6. Step 6: Final answer
    x = 4,650.98

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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.