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Finding the Fourth Proportional to 13,132.56, 19,704.62 and 6,891.11

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Solution

The fourth proportional to 13,132.56, 19,704.62 and 6,891.11 is: 10,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.56 : 19,704.62 = 6,891.11 : x
  2. Step 2: Convert to fraction form
    13,132.56/19,704.62 = 6,891.11/x
  3. Step 3: Cross multiply
    13,132.56x = 19,704.62 × 6,891.11
  4. Step 4: Simplify right side
    13,132.56x = 135,786,696.53
  5. Step 5: Solve for x
    x = 135,786,696.53/13,132.56
  6. Step 6: Final answer
    x = 10,339.69

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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.