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Finding the Fourth Proportional to 20,057.69, 27,680.64 and 11,106.18

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Solution

The fourth proportional to 20,057.69, 27,680.64 and 11,106.18 is: 15,327.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.69 : 27,680.64 = 11,106.18 : x
  2. Step 2: Convert to fraction form
    20,057.69/27,680.64 = 11,106.18/x
  3. Step 3: Cross multiply
    20,057.69x = 27,680.64 × 11,106.18
  4. Step 4: Simplify right side
    20,057.69x = 307,426,128.71
  5. Step 5: Solve for x
    x = 307,426,128.71/20,057.69
  6. Step 6: Final answer
    x = 15,327.09

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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.