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Finding the Fourth Proportional to 8,228, 11,354.72 and 4,502

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Solution

The fourth proportional to 8,228, 11,354.72 and 4,502 is: 6,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228 : 11,354.72 = 4,502 : x
  2. Step 2: Convert to fraction form
    8,228/11,354.72 = 4,502/x
  3. Step 3: Cross multiply
    8,228x = 11,354.72 × 4,502
  4. Step 4: Simplify right side
    8,228x = 51,118,949.44
  5. Step 5: Solve for x
    x = 51,118,949.44/8,228
  6. Step 6: Final answer
    x = 6,212.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.