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Finding the Fourth Proportional to 9,330, 13,995 and 6,399.44

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Solution

The fourth proportional to 9,330, 13,995 and 6,399.44 is: 9,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330 : 13,995 = 6,399.44 : x
  2. Step 2: Convert to fraction form
    9,330/13,995 = 6,399.44/x
  3. Step 3: Cross multiply
    9,330x = 13,995 × 6,399.44
  4. Step 4: Simplify right side
    9,330x = 89,560,162.80
  5. Step 5: Solve for x
    x = 89,560,162.80/9,330
  6. Step 6: Final answer
    x = 9,599.16

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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.