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Finding the Fourth Proportional to 20,172.65, 27,839.94 and 11,221.84

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Solution

The fourth proportional to 20,172.65, 27,839.94 and 11,221.84 is: 15,487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.65 : 27,839.94 = 11,221.84 : x
  2. Step 2: Convert to fraction form
    20,172.65/27,839.94 = 11,221.84/x
  3. Step 3: Cross multiply
    20,172.65x = 27,839.94 × 11,221.84
  4. Step 4: Simplify right side
    20,172.65x = 312,415,345.01
  5. Step 5: Solve for x
    x = 312,415,345.01/20,172.65
  6. Step 6: Final answer
    x = 15,487.08

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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.