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Finding the Fourth Proportional to 4,992.78, 7,485.42 and 3,018

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Solution

The fourth proportional to 4,992.78, 7,485.42 and 3,018 is: 4,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.78 : 7,485.42 = 3,018 : x
  2. Step 2: Convert to fraction form
    4,992.78/7,485.42 = 3,018/x
  3. Step 3: Cross multiply
    4,992.78x = 7,485.42 × 3,018
  4. Step 4: Simplify right side
    4,992.78x = 22,590,997.56
  5. Step 5: Solve for x
    x = 22,590,997.56/4,992.78
  6. Step 6: Final answer
    x = 4,524.73

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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.