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Finding the Fourth Proportional to 6,313, 9,469.98 and 2,209

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Solution

The fourth proportional to 6,313, 9,469.98 and 2,209 is: 3,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313 : 9,469.98 = 2,209 : x
  2. Step 2: Convert to fraction form
    6,313/9,469.98 = 2,209/x
  3. Step 3: Cross multiply
    6,313x = 9,469.98 × 2,209
  4. Step 4: Simplify right side
    6,313x = 20,919,185.82
  5. Step 5: Solve for x
    x = 20,919,185.82/6,313
  6. Step 6: Final answer
    x = 3,313.67

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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.