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Finding the Fourth Proportional to 3,899.75, 5,381.75 and 2,408.69

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Solution

The fourth proportional to 3,899.75, 5,381.75 and 2,408.69 is: 3,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.75 : 5,381.75 = 2,408.69 : x
  2. Step 2: Convert to fraction form
    3,899.75/5,381.75 = 2,408.69/x
  3. Step 3: Cross multiply
    3,899.75x = 5,381.75 × 2,408.69
  4. Step 4: Simplify right side
    3,899.75x = 12,962,967.41
  5. Step 5: Solve for x
    x = 12,962,967.41/3,899.75
  6. Step 6: Final answer
    x = 3,324.05

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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.