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Finding the Fourth Proportional to 13,841.08, 20,772.69 and 7,271.14

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Solution

The fourth proportional to 13,841.08, 20,772.69 and 7,271.14 is: 10,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.08 : 20,772.69 = 7,271.14 : x
  2. Step 2: Convert to fraction form
    13,841.08/20,772.69 = 7,271.14/x
  3. Step 3: Cross multiply
    13,841.08x = 20,772.69 × 7,271.14
  4. Step 4: Simplify right side
    13,841.08x = 151,041,137.17
  5. Step 5: Solve for x
    x = 151,041,137.17/13,841.08
  6. Step 6: Final answer
    x = 10,912.53

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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.