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Finding the Fourth Proportional to 13,224.30, 18,250.71 and 7,257.13

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Solution

The fourth proportional to 13,224.30, 18,250.71 and 7,257.13 is: 10,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.30 : 18,250.71 = 7,257.13 : x
  2. Step 2: Convert to fraction form
    13,224.30/18,250.71 = 7,257.13/x
  3. Step 3: Cross multiply
    13,224.30x = 18,250.71 × 7,257.13
  4. Step 4: Simplify right side
    13,224.30x = 132,447,683.81
  5. Step 5: Solve for x
    x = 132,447,683.81/13,224.30
  6. Step 6: Final answer
    x = 10,015.48

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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.