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Finding the Fourth Proportional to 6,939.82, 9,578.19 and 4,422.94

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Solution

The fourth proportional to 6,939.82, 9,578.19 and 4,422.94 is: 6,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.82 : 9,578.19 = 4,422.94 : x
  2. Step 2: Convert to fraction form
    6,939.82/9,578.19 = 4,422.94/x
  3. Step 3: Cross multiply
    6,939.82x = 9,578.19 × 4,422.94
  4. Step 4: Simplify right side
    6,939.82x = 42,363,759.68
  5. Step 5: Solve for x
    x = 42,363,759.68/6,939.82
  6. Step 6: Final answer
    x = 6,104.45

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1.5x scale

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.