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Finding the Fourth Proportional to 13,224.75, 18,250.16 and 7,635.75

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Solution

The fourth proportional to 13,224.75, 18,250.16 and 7,635.75 is: 10,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.75 : 18,250.16 = 7,635.75 : x
  2. Step 2: Convert to fraction form
    13,224.75/18,250.16 = 7,635.75/x
  3. Step 3: Cross multiply
    13,224.75x = 18,250.16 × 7,635.75
  4. Step 4: Simplify right side
    13,224.75x = 139,353,621.04
  5. Step 5: Solve for x
    x = 139,353,621.04/13,224.75
  6. Step 6: Final answer
    x = 10,537.34

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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.