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Finding the Fourth Proportional to 7,961, 11,941.50 and 3,097

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Solution

The fourth proportional to 7,961, 11,941.50 and 3,097 is: 4,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961 : 11,941.50 = 3,097 : x
  2. Step 2: Convert to fraction form
    7,961/11,941.50 = 3,097/x
  3. Step 3: Cross multiply
    7,961x = 11,941.50 × 3,097
  4. Step 4: Simplify right side
    7,961x = 36,982,825.50
  5. Step 5: Solve for x
    x = 36,982,825.50/7,961
  6. Step 6: Final answer
    x = 4,645.50

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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.