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Finding the Fourth Proportional to 3,578.64, 4,939.14 and 2,006.44

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Solution

The fourth proportional to 3,578.64, 4,939.14 and 2,006.44 is: 2,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.64 : 4,939.14 = 2,006.44 : x
  2. Step 2: Convert to fraction form
    3,578.64/4,939.14 = 2,006.44/x
  3. Step 3: Cross multiply
    3,578.64x = 4,939.14 × 2,006.44
  4. Step 4: Simplify right side
    3,578.64x = 9,910,088.06
  5. Step 5: Solve for x
    x = 9,910,088.06/3,578.64
  6. Step 6: Final answer
    x = 2,769.23

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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.