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Finding the Fourth Proportional to 12,104.65, 16,705.20 and 6,727.69

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Solution

The fourth proportional to 12,104.65, 16,705.20 and 6,727.69 is: 9,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104.65 : 16,705.20 = 6,727.69 : x
  2. Step 2: Convert to fraction form
    12,104.65/16,705.20 = 6,727.69/x
  3. Step 3: Cross multiply
    12,104.65x = 16,705.20 × 6,727.69
  4. Step 4: Simplify right side
    12,104.65x = 112,387,406.99
  5. Step 5: Solve for x
    x = 112,387,406.99/12,104.65
  6. Step 6: Final answer
    x = 9,284.65

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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.