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Finding the Fourth Proportional to 6,945, 10,418.94 and 2,841

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Solution

The fourth proportional to 6,945, 10,418.94 and 2,841 is: 4,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945 : 10,418.94 = 2,841 : x
  2. Step 2: Convert to fraction form
    6,945/10,418.94 = 2,841/x
  3. Step 3: Cross multiply
    6,945x = 10,418.94 × 2,841
  4. Step 4: Simplify right side
    6,945x = 29,600,208.54
  5. Step 5: Solve for x
    x = 29,600,208.54/6,945
  6. Step 6: Final answer
    x = 4,262.09

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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.