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Finding the Fourth Proportional to 7,938, 11,907.27 and 3,194.10

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Solution

The fourth proportional to 7,938, 11,907.27 and 3,194.10 is: 4,791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938 : 11,907.27 = 3,194.10 : x
  2. Step 2: Convert to fraction form
    7,938/11,907.27 = 3,194.10/x
  3. Step 3: Cross multiply
    7,938x = 11,907.27 × 3,194.10
  4. Step 4: Simplify right side
    7,938x = 38,033,011.11
  5. Step 5: Solve for x
    x = 38,033,011.11/7,938
  6. Step 6: Final answer
    x = 4,791.26

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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.