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Finding the Fourth Proportional to 6,980, 10,474.80 and 2,876

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Solution

The fourth proportional to 6,980, 10,474.80 and 2,876 is: 4,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980 : 10,474.80 = 2,876 : x
  2. Step 2: Convert to fraction form
    6,980/10,474.80 = 2,876/x
  3. Step 3: Cross multiply
    6,980x = 10,474.80 × 2,876
  4. Step 4: Simplify right side
    6,980x = 30,125,524.80
  5. Step 5: Solve for x
    x = 30,125,524.80/6,980
  6. Step 6: Final answer
    x = 4,315.98

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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.