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Finding the Fourth Proportional to 19,662.96, 27,135.56 and 11,164.80

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Solution

The fourth proportional to 19,662.96, 27,135.56 and 11,164.80 is: 15,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662.96 : 27,135.56 = 11,164.80 : x
  2. Step 2: Convert to fraction form
    19,662.96/27,135.56 = 11,164.80/x
  3. Step 3: Cross multiply
    19,662.96x = 27,135.56 × 11,164.80
  4. Step 4: Simplify right side
    19,662.96x = 302,963,100.29
  5. Step 5: Solve for x
    x = 302,963,100.29/19,662.96
  6. Step 6: Final answer
    x = 15,407.81

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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.