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Finding the Fourth Proportional to 12,696.96, 19,047.66 and 5,306.61

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Solution

The fourth proportional to 12,696.96, 19,047.66 and 5,306.61 is: 7,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.96 : 19,047.66 = 5,306.61 : x
  2. Step 2: Convert to fraction form
    12,696.96/19,047.66 = 5,306.61/x
  3. Step 3: Cross multiply
    12,696.96x = 19,047.66 × 5,306.61
  4. Step 4: Simplify right side
    12,696.96x = 101,078,554.56
  5. Step 5: Solve for x
    x = 101,078,554.56/12,696.96
  6. Step 6: Final answer
    x = 7,960.84

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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.