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Finding the Fourth Proportional to 6,894.75, 10,343.57 and 2,790.75

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Solution

The fourth proportional to 6,894.75, 10,343.57 and 2,790.75 is: 4,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.75 : 10,343.57 = 2,790.75 : x
  2. Step 2: Convert to fraction form
    6,894.75/10,343.57 = 2,790.75/x
  3. Step 3: Cross multiply
    6,894.75x = 10,343.57 × 2,790.75
  4. Step 4: Simplify right side
    6,894.75x = 28,866,304.02
  5. Step 5: Solve for x
    x = 28,866,304.02/6,894.75
  6. Step 6: Final answer
    x = 4,186.71

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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.