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Finding the Fourth Proportional to 11,696.80, 17,548.08 and 8,240.80

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Solution

The fourth proportional to 11,696.80, 17,548.08 and 8,240.80 is: 12,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.80 : 17,548.08 = 8,240.80 : x
  2. Step 2: Convert to fraction form
    11,696.80/17,548.08 = 8,240.80/x
  3. Step 3: Cross multiply
    11,696.80x = 17,548.08 × 8,240.80
  4. Step 4: Simplify right side
    11,696.80x = 144,610,217.66
  5. Step 5: Solve for x
    x = 144,610,217.66/11,696.80
  6. Step 6: Final answer
    x = 12,363.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.