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Finding the Fourth Proportional to 12,195.26, 16,829.78 and 6,817.54

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Solution

The fourth proportional to 12,195.26, 16,829.78 and 6,817.54 is: 9,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.26 : 16,829.78 = 6,817.54 : x
  2. Step 2: Convert to fraction form
    12,195.26/16,829.78 = 6,817.54/x
  3. Step 3: Cross multiply
    12,195.26x = 16,829.78 × 6,817.54
  4. Step 4: Simplify right side
    12,195.26x = 114,737,701.07
  5. Step 5: Solve for x
    x = 114,737,701.07/12,195.26
  6. Step 6: Final answer
    x = 9,408.39

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Double scale
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1.5x scale

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.