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Finding the Fourth Proportional to 6,806.72, 10,209.96 and 3,878.78

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Solution

The fourth proportional to 6,806.72, 10,209.96 and 3,878.78 is: 5,818.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.72 : 10,209.96 = 3,878.78 : x
  2. Step 2: Convert to fraction form
    6,806.72/10,209.96 = 3,878.78/x
  3. Step 3: Cross multiply
    6,806.72x = 10,209.96 × 3,878.78
  4. Step 4: Simplify right side
    6,806.72x = 39,602,188.65
  5. Step 5: Solve for x
    x = 39,602,188.65/6,806.72
  6. Step 6: Final answer
    x = 5,818.10

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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.