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Finding the Fourth Proportional to 6,496.80, 9,745.20 and 2,114.70

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Solution

The fourth proportional to 6,496.80, 9,745.20 and 2,114.70 is: 3,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.80 : 9,745.20 = 2,114.70 : x
  2. Step 2: Convert to fraction form
    6,496.80/9,745.20 = 2,114.70/x
  3. Step 3: Cross multiply
    6,496.80x = 9,745.20 × 2,114.70
  4. Step 4: Simplify right side
    6,496.80x = 20,608,174.44
  5. Step 5: Solve for x
    x = 20,608,174.44/6,496.80
  6. Step 6: Final answer
    x = 3,172.05

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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.