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Finding the Fourth Proportional to 6,817.88, 9,408.20 and 3,834.16

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Solution

The fourth proportional to 6,817.88, 9,408.20 and 3,834.16 is: 5,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.88 : 9,408.20 = 3,834.16 : x
  2. Step 2: Convert to fraction form
    6,817.88/9,408.20 = 3,834.16/x
  3. Step 3: Cross multiply
    6,817.88x = 9,408.20 × 3,834.16
  4. Step 4: Simplify right side
    6,817.88x = 36,072,544.11
  5. Step 5: Solve for x
    x = 36,072,544.11/6,817.88
  6. Step 6: Final answer
    x = 5,290.87

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1.5x scale

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.