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Finding the Fourth Proportional to 7,714, 11,571.54 and 3,097

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Solution

The fourth proportional to 7,714, 11,571.54 and 3,097 is: 4,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714 : 11,571.54 = 3,097 : x
  2. Step 2: Convert to fraction form
    7,714/11,571.54 = 3,097/x
  3. Step 3: Cross multiply
    7,714x = 11,571.54 × 3,097
  4. Step 4: Simplify right side
    7,714x = 35,837,059.38
  5. Step 5: Solve for x
    x = 35,837,059.38/7,714
  6. Step 6: Final answer
    x = 4,645.72

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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.