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Finding the Fourth Proportional to 2,983.82, 4,478.09 and 1,319.22

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Solution

The fourth proportional to 2,983.82, 4,478.09 and 1,319.22 is: 1,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.82 : 4,478.09 = 1,319.22 : x
  2. Step 2: Convert to fraction form
    2,983.82/4,478.09 = 1,319.22/x
  3. Step 3: Cross multiply
    2,983.82x = 4,478.09 × 1,319.22
  4. Step 4: Simplify right side
    2,983.82x = 5,907,579.29
  5. Step 5: Solve for x
    x = 5,907,579.29/2,983.82
  6. Step 6: Final answer
    x = 1,979.87

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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.