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Finding the Fourth Proportional to 11,812.16, 17,706.72 and 5,660.48

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Solution

The fourth proportional to 11,812.16, 17,706.72 and 5,660.48 is: 8,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.16 : 17,706.72 = 5,660.48 : x
  2. Step 2: Convert to fraction form
    11,812.16/17,706.72 = 5,660.48/x
  3. Step 3: Cross multiply
    11,812.16x = 17,706.72 × 5,660.48
  4. Step 4: Simplify right side
    11,812.16x = 100,228,534.43
  5. Step 5: Solve for x
    x = 100,228,534.43/11,812.16
  6. Step 6: Final answer
    x = 8,485.20

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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.