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Finding the Fourth Proportional to 11,568.16, 17,380.76 and 7,409.96

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Solution

The fourth proportional to 11,568.16, 17,380.76 and 7,409.96 is: 11,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.16 : 17,380.76 = 7,409.96 : x
  2. Step 2: Convert to fraction form
    11,568.16/17,380.76 = 7,409.96/x
  3. Step 3: Cross multiply
    11,568.16x = 17,380.76 × 7,409.96
  4. Step 4: Simplify right side
    11,568.16x = 128,790,736.37
  5. Step 5: Solve for x
    x = 128,790,736.37/11,568.16
  6. Step 6: Final answer
    x = 11,133.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.