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Finding the Fourth Proportional to 6,769.70, 10,143.57 and 3,478.22

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Solution

The fourth proportional to 6,769.70, 10,143.57 and 3,478.22 is: 5,211.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.70 : 10,143.57 = 3,478.22 : x
  2. Step 2: Convert to fraction form
    6,769.70/10,143.57 = 3,478.22/x
  3. Step 3: Cross multiply
    6,769.70x = 10,143.57 × 3,478.22
  4. Step 4: Simplify right side
    6,769.70x = 35,281,568.05
  5. Step 5: Solve for x
    x = 35,281,568.05/6,769.70
  6. Step 6: Final answer
    x = 5,211.69

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1.5x scale

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.