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Finding the Fourth Proportional to 6,998.48, 10,489.80 and 3,297.20

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Solution

The fourth proportional to 6,998.48, 10,489.80 and 3,297.20 is: 4,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.48 : 10,489.80 = 3,297.20 : x
  2. Step 2: Convert to fraction form
    6,998.48/10,489.80 = 3,297.20/x
  3. Step 3: Cross multiply
    6,998.48x = 10,489.80 × 3,297.20
  4. Step 4: Simplify right side
    6,998.48x = 34,586,968.56
  5. Step 5: Solve for x
    x = 34,586,968.56/6,998.48
  6. Step 6: Final answer
    x = 4,942.07

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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.