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Finding the Fourth Proportional to 13,523.67, 18,662.62 and 7,473.75

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Solution

The fourth proportional to 13,523.67, 18,662.62 and 7,473.75 is: 10,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.67 : 18,662.62 = 7,473.75 : x
  2. Step 2: Convert to fraction form
    13,523.67/18,662.62 = 7,473.75/x
  3. Step 3: Cross multiply
    13,523.67x = 18,662.62 × 7,473.75
  4. Step 4: Simplify right side
    13,523.67x = 139,479,756.23
  5. Step 5: Solve for x
    x = 139,479,756.23/13,523.67
  6. Step 6: Final answer
    x = 10,313.75

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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.