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Finding the Fourth Proportional to 6,872.43, 10,309.21 and 1,942.11

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Solution

The fourth proportional to 6,872.43, 10,309.21 and 1,942.11 is: 2,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.43 : 10,309.21 = 1,942.11 : x
  2. Step 2: Convert to fraction form
    6,872.43/10,309.21 = 1,942.11/x
  3. Step 3: Cross multiply
    6,872.43x = 10,309.21 × 1,942.11
  4. Step 4: Simplify right side
    6,872.43x = 20,021,619.83
  5. Step 5: Solve for x
    x = 20,021,619.83/6,872.43
  6. Step 6: Final answer
    x = 2,913.32

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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.