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Finding the Fourth Proportional to 6,861.67, 9,463.89 and 5,906.21

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Solution

The fourth proportional to 6,861.67, 9,463.89 and 5,906.21 is: 8,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.67 : 9,463.89 = 5,906.21 : x
  2. Step 2: Convert to fraction form
    6,861.67/9,463.89 = 5,906.21/x
  3. Step 3: Cross multiply
    6,861.67x = 9,463.89 × 5,906.21
  4. Step 4: Simplify right side
    6,861.67x = 55,895,668.57
  5. Step 5: Solve for x
    x = 55,895,668.57/6,861.67
  6. Step 6: Final answer
    x = 8,146.07

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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.