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Finding the Fourth Proportional to 8,549.67, 12,828.94 and 6,469.05

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Solution

The fourth proportional to 8,549.67, 12,828.94 and 6,469.05 is: 9,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.67 : 12,828.94 = 6,469.05 : x
  2. Step 2: Convert to fraction form
    8,549.67/12,828.94 = 6,469.05/x
  3. Step 3: Cross multiply
    8,549.67x = 12,828.94 × 6,469.05
  4. Step 4: Simplify right side
    8,549.67x = 82,991,122.63
  5. Step 5: Solve for x
    x = 82,991,122.63/8,549.67
  6. Step 6: Final answer
    x = 9,706.94

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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.