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Finding the Fourth Proportional to 12,145.26, 16,767.74 and 7,960.80

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Solution

The fourth proportional to 12,145.26, 16,767.74 and 7,960.80 is: 10,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.26 : 16,767.74 = 7,960.80 : x
  2. Step 2: Convert to fraction form
    12,145.26/16,767.74 = 7,960.80/x
  3. Step 3: Cross multiply
    12,145.26x = 16,767.74 × 7,960.80
  4. Step 4: Simplify right side
    12,145.26x = 133,484,624.59
  5. Step 5: Solve for x
    x = 133,484,624.59/12,145.26
  6. Step 6: Final answer
    x = 10,990.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.