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Finding the Fourth Proportional to 8,469.84, 12,705.12 and 5,180.88

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Solution

The fourth proportional to 8,469.84, 12,705.12 and 5,180.88 is: 7,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.84 : 12,705.12 = 5,180.88 : x
  2. Step 2: Convert to fraction form
    8,469.84/12,705.12 = 5,180.88/x
  3. Step 3: Cross multiply
    8,469.84x = 12,705.12 × 5,180.88
  4. Step 4: Simplify right side
    8,469.84x = 65,823,702.11
  5. Step 5: Solve for x
    x = 65,823,702.11/8,469.84
  6. Step 6: Final answer
    x = 7,771.54

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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.