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Finding the Fourth Proportional to 13,446.53, 18,553.94 and 7,477.41

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Solution

The fourth proportional to 13,446.53, 18,553.94 and 7,477.41 is: 10,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.53 : 18,553.94 = 7,477.41 : x
  2. Step 2: Convert to fraction form
    13,446.53/18,553.94 = 7,477.41/x
  3. Step 3: Cross multiply
    13,446.53x = 18,553.94 × 7,477.41
  4. Step 4: Simplify right side
    13,446.53x = 138,735,416.50
  5. Step 5: Solve for x
    x = 138,735,416.50/13,446.53
  6. Step 6: Final answer
    x = 10,317.57

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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.