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Finding the Fourth Proportional to 6,861.57, 9,469.14 and 3,877.43

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Solution

The fourth proportional to 6,861.57, 9,469.14 and 3,877.43 is: 5,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.57 : 9,469.14 = 3,877.43 : x
  2. Step 2: Convert to fraction form
    6,861.57/9,469.14 = 3,877.43/x
  3. Step 3: Cross multiply
    6,861.57x = 9,469.14 × 3,877.43
  4. Step 4: Simplify right side
    6,861.57x = 36,715,880.16
  5. Step 5: Solve for x
    x = 36,715,880.16/6,861.57
  6. Step 6: Final answer
    x = 5,350.94

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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.