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Finding the Fourth Proportional to 7,679.80, 11,519.70 and 6,902.20

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Solution

The fourth proportional to 7,679.80, 11,519.70 and 6,902.20 is: 10,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.80 : 11,519.70 = 6,902.20 : x
  2. Step 2: Convert to fraction form
    7,679.80/11,519.70 = 6,902.20/x
  3. Step 3: Cross multiply
    7,679.80x = 11,519.70 × 6,902.20
  4. Step 4: Simplify right side
    7,679.80x = 79,511,273.34
  5. Step 5: Solve for x
    x = 79,511,273.34/7,679.80
  6. Step 6: Final answer
    x = 10,353.30

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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.