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Finding the Fourth Proportional to 7,414, 11,121.72 and 1,942

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Solution

The fourth proportional to 7,414, 11,121.72 and 1,942 is: 2,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414 : 11,121.72 = 1,942 : x
  2. Step 2: Convert to fraction form
    7,414/11,121.72 = 1,942/x
  3. Step 3: Cross multiply
    7,414x = 11,121.72 × 1,942
  4. Step 4: Simplify right side
    7,414x = 21,598,380.24
  5. Step 5: Solve for x
    x = 21,598,380.24/7,414
  6. Step 6: Final answer
    x = 2,913.19

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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.