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Finding the Fourth Proportional to 13,223.82, 18,248.94 and 7,255.74

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Solution

The fourth proportional to 13,223.82, 18,248.94 and 7,255.74 is: 10,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.82 : 18,248.94 = 7,255.74 : x
  2. Step 2: Convert to fraction form
    13,223.82/18,248.94 = 7,255.74/x
  3. Step 3: Cross multiply
    13,223.82x = 18,248.94 × 7,255.74
  4. Step 4: Simplify right side
    13,223.82x = 132,409,563.92
  5. Step 5: Solve for x
    x = 132,409,563.92/13,223.82
  6. Step 6: Final answer
    x = 10,012.96

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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.