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Finding the Fourth Proportional to 6,787, 10,170.78 and 3,861.40

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Solution

The fourth proportional to 6,787, 10,170.78 and 3,861.40 is: 5,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787 : 10,170.78 = 3,861.40 : x
  2. Step 2: Convert to fraction form
    6,787/10,170.78 = 3,861.40/x
  3. Step 3: Cross multiply
    6,787x = 10,170.78 × 3,861.40
  4. Step 4: Simplify right side
    6,787x = 39,273,449.89
  5. Step 5: Solve for x
    x = 39,273,449.89/6,787
  6. Step 6: Final answer
    x = 5,786.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.