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Finding the Fourth Proportional to 6,321.68, 9,484.44 and 2,218

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Solution

The fourth proportional to 6,321.68, 9,484.44 and 2,218 is: 3,327.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.68 : 9,484.44 = 2,218 : x
  2. Step 2: Convert to fraction form
    6,321.68/9,484.44 = 2,218/x
  3. Step 3: Cross multiply
    6,321.68x = 9,484.44 × 2,218
  4. Step 4: Simplify right side
    6,321.68x = 21,036,487.92
  5. Step 5: Solve for x
    x = 21,036,487.92/6,321.68
  6. Step 6: Final answer
    x = 3,327.67

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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.