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Finding the Fourth Proportional to 6,939.88, 10,409.82 and 1,745.75

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Solution

The fourth proportional to 6,939.88, 10,409.82 and 1,745.75 is: 2,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.88 : 10,409.82 = 1,745.75 : x
  2. Step 2: Convert to fraction form
    6,939.88/10,409.82 = 1,745.75/x
  3. Step 3: Cross multiply
    6,939.88x = 10,409.82 × 1,745.75
  4. Step 4: Simplify right side
    6,939.88x = 18,172,943.27
  5. Step 5: Solve for x
    x = 18,172,943.27/6,939.88
  6. Step 6: Final answer
    x = 2,618.63

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1.5x scale

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.