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Finding the Fourth Proportional to 5,279.97, 7,919.96 and 1,384.38

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Solution

The fourth proportional to 5,279.97, 7,919.96 and 1,384.38 is: 2,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.97 : 7,919.96 = 1,384.38 : x
  2. Step 2: Convert to fraction form
    5,279.97/7,919.96 = 1,384.38/x
  3. Step 3: Cross multiply
    5,279.97x = 7,919.96 × 1,384.38
  4. Step 4: Simplify right side
    5,279.97x = 10,964,234.22
  5. Step 5: Solve for x
    x = 10,964,234.22/5,279.97
  6. Step 6: Final answer
    x = 2,076.57

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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.