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Finding the Fourth Proportional to 3,993.74, 5,512.34 and 2,579

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Solution

The fourth proportional to 3,993.74, 5,512.34 and 2,579 is: 3,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.74 : 5,512.34 = 2,579 : x
  2. Step 2: Convert to fraction form
    3,993.74/5,512.34 = 2,579/x
  3. Step 3: Cross multiply
    3,993.74x = 5,512.34 × 2,579
  4. Step 4: Simplify right side
    3,993.74x = 14,216,311.97
  5. Step 5: Solve for x
    x = 14,216,311.97/3,993.74
  6. Step 6: Final answer
    x = 3,559.65

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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.