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Finding the Fourth Proportional to 12,696.96, 17,512.36 and 8,217.26

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Solution

The fourth proportional to 12,696.96, 17,512.36 and 8,217.26 is: 11,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.96 : 17,512.36 = 8,217.26 : x
  2. Step 2: Convert to fraction form
    12,696.96/17,512.36 = 8,217.26/x
  3. Step 3: Cross multiply
    12,696.96x = 17,512.36 × 8,217.26
  4. Step 4: Simplify right side
    12,696.96x = 143,903,486.69
  5. Step 5: Solve for x
    x = 143,903,486.69/12,696.96
  6. Step 6: Final answer
    x = 11,333.70

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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.