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Finding the Fourth Proportional to 7,206.55, 10,809.01 and 1,942.09

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Solution

The fourth proportional to 7,206.55, 10,809.01 and 1,942.09 is: 2,912.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.55 : 10,809.01 = 1,942.09 : x
  2. Step 2: Convert to fraction form
    7,206.55/10,809.01 = 1,942.09/x
  3. Step 3: Cross multiply
    7,206.55x = 10,809.01 × 1,942.09
  4. Step 4: Simplify right side
    7,206.55x = 20,992,070.23
  5. Step 5: Solve for x
    x = 20,992,070.23/7,206.55
  6. Step 6: Final answer
    x = 2,912.92

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Why These Related Problems?

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