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Finding the Fourth Proportional to 2,940.88, 4,408.62 and 992.56

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Solution

The fourth proportional to 2,940.88, 4,408.62 and 992.56 is: 1,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.88 : 4,408.62 = 992.56 : x
  2. Step 2: Convert to fraction form
    2,940.88/4,408.62 = 992.56/x
  3. Step 3: Cross multiply
    2,940.88x = 4,408.62 × 992.56
  4. Step 4: Simplify right side
    2,940.88x = 4,375,819.87
  5. Step 5: Solve for x
    x = 4,375,819.87/2,940.88
  6. Step 6: Final answer
    x = 1,487.93

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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.