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Finding the Fourth Proportional to 20,162.65, 27,824.31 and 11,210.08

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Solution

The fourth proportional to 20,162.65, 27,824.31 and 11,210.08 is: 15,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.65 : 27,824.31 = 11,210.08 : x
  2. Step 2: Convert to fraction form
    20,162.65/27,824.31 = 11,210.08/x
  3. Step 3: Cross multiply
    20,162.65x = 27,824.31 × 11,210.08
  4. Step 4: Simplify right side
    20,162.65x = 311,912,671.48
  5. Step 5: Solve for x
    x = 311,912,671.48/20,162.65
  6. Step 6: Final answer
    x = 15,469.83

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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.