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Finding the Fourth Proportional to 6,960.78, 9,604.49 and 3,977.60

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Solution

The fourth proportional to 6,960.78, 9,604.49 and 3,977.60 is: 5,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.78 : 9,604.49 = 3,977.60 : x
  2. Step 2: Convert to fraction form
    6,960.78/9,604.49 = 3,977.60/x
  3. Step 3: Cross multiply
    6,960.78x = 9,604.49 × 3,977.60
  4. Step 4: Simplify right side
    6,960.78x = 38,202,751.51
  5. Step 5: Solve for x
    x = 38,202,751.51/6,960.78
  6. Step 6: Final answer
    x = 5,488.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.