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Finding the Fourth Proportional to 6,760.80, 10,141.20 and 3,471.78

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Solution

The fourth proportional to 6,760.80, 10,141.20 and 3,471.78 is: 5,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.80 : 10,141.20 = 3,471.78 : x
  2. Step 2: Convert to fraction form
    6,760.80/10,141.20 = 3,471.78/x
  3. Step 3: Cross multiply
    6,760.80x = 10,141.20 × 3,471.78
  4. Step 4: Simplify right side
    6,760.80x = 35,208,015.34
  5. Step 5: Solve for x
    x = 35,208,015.34/6,760.80
  6. Step 6: Final answer
    x = 5,207.67

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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.