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Finding the Fourth Proportional to 6,884.50, 10,326.78 and 2,780.50

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Solution

The fourth proportional to 6,884.50, 10,326.78 and 2,780.50 is: 4,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.50 : 10,326.78 = 2,780.50 : x
  2. Step 2: Convert to fraction form
    6,884.50/10,326.78 = 2,780.50/x
  3. Step 3: Cross multiply
    6,884.50x = 10,326.78 × 2,780.50
  4. Step 4: Simplify right side
    6,884.50x = 28,713,611.79
  5. Step 5: Solve for x
    x = 28,713,611.79/6,884.50
  6. Step 6: Final answer
    x = 4,170.76

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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.