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Finding the Fourth Proportional to 3,976.67, 5,965.61 and 1,379

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Solution

The fourth proportional to 3,976.67, 5,965.61 and 1,379 is: 2,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.67 : 5,965.61 = 1,379 : x
  2. Step 2: Convert to fraction form
    3,976.67/5,965.61 = 1,379/x
  3. Step 3: Cross multiply
    3,976.67x = 5,965.61 × 1,379
  4. Step 4: Simplify right side
    3,976.67x = 8,226,576.19
  5. Step 5: Solve for x
    x = 8,226,576.19/3,976.67
  6. Step 6: Final answer
    x = 2,068.71

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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.