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Finding the Fourth Proportional to 6,323.38, 9,489.38 and 2,219.38

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Solution

The fourth proportional to 6,323.38, 9,489.38 and 2,219.38 is: 3,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.38 : 9,489.38 = 2,219.38 : x
  2. Step 2: Convert to fraction form
    6,323.38/9,489.38 = 2,219.38/x
  3. Step 3: Cross multiply
    6,323.38x = 9,489.38 × 2,219.38
  4. Step 4: Simplify right side
    6,323.38x = 21,060,540.18
  5. Step 5: Solve for x
    x = 21,060,540.18/6,323.38
  6. Step 6: Final answer
    x = 3,330.58

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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.