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Finding the Fourth Proportional to 13,724.18, 20,561.94 and 6,313.08

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Solution

The fourth proportional to 13,724.18, 20,561.94 and 6,313.08 is: 9,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724.18 : 20,561.94 = 6,313.08 : x
  2. Step 2: Convert to fraction form
    13,724.18/20,561.94 = 6,313.08/x
  3. Step 3: Cross multiply
    13,724.18x = 20,561.94 × 6,313.08
  4. Step 4: Simplify right side
    13,724.18x = 129,809,172.18
  5. Step 5: Solve for x
    x = 129,809,172.18/13,724.18
  6. Step 6: Final answer
    x = 9,458.43

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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.