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Finding the Fourth Proportional to 20,051.82, 27,662.94 and 12,089.52

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Solution

The fourth proportional to 20,051.82, 27,662.94 and 12,089.52 is: 16,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.82 : 27,662.94 = 12,089.52 : x
  2. Step 2: Convert to fraction form
    20,051.82/27,662.94 = 12,089.52/x
  3. Step 3: Cross multiply
    20,051.82x = 27,662.94 × 12,089.52
  4. Step 4: Simplify right side
    20,051.82x = 334,431,666.39
  5. Step 5: Solve for x
    x = 334,431,666.39/20,051.82
  6. Step 6: Final answer
    x = 16,678.37

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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.