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Finding the Fourth Proportional to 13,806.16, 19,052.56 and 8,499.60

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Solution

The fourth proportional to 13,806.16, 19,052.56 and 8,499.60 is: 11,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.16 : 19,052.56 = 8,499.60 : x
  2. Step 2: Convert to fraction form
    13,806.16/19,052.56 = 8,499.60/x
  3. Step 3: Cross multiply
    13,806.16x = 19,052.56 × 8,499.60
  4. Step 4: Simplify right side
    13,806.16x = 161,939,138.98
  5. Step 5: Solve for x
    x = 161,939,138.98/13,806.16
  6. Step 6: Final answer
    x = 11,729.48

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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.