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Finding the Fourth Proportional to 13,782.41, 20,673.16 and 5,991.23

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Solution

The fourth proportional to 13,782.41, 20,673.16 and 5,991.23 is: 8,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.41 : 20,673.16 = 5,991.23 : x
  2. Step 2: Convert to fraction form
    13,782.41/20,673.16 = 5,991.23/x
  3. Step 3: Cross multiply
    13,782.41x = 20,673.16 × 5,991.23
  4. Step 4: Simplify right side
    13,782.41x = 123,857,656.39
  5. Step 5: Solve for x
    x = 123,857,656.39/13,782.41
  6. Step 6: Final answer
    x = 8,986.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.