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Finding the Fourth Proportional to 12,696.62, 19,049.93 and 9,191.03

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Solution

The fourth proportional to 12,696.62, 19,049.93 and 9,191.03 is: 13,790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.62 : 19,049.93 = 9,191.03 : x
  2. Step 2: Convert to fraction form
    12,696.62/19,049.93 = 9,191.03/x
  3. Step 3: Cross multiply
    12,696.62x = 19,049.93 × 9,191.03
  4. Step 4: Simplify right side
    12,696.62x = 175,088,548.73
  5. Step 5: Solve for x
    x = 175,088,548.73/12,696.62
  6. Step 6: Final answer
    x = 13,790.18

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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.