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Finding the Fourth Proportional to 7,489.78, 11,234.95 and 1,942.98

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Solution

The fourth proportional to 7,489.78, 11,234.95 and 1,942.98 is: 2,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.78 : 11,234.95 = 1,942.98 : x
  2. Step 2: Convert to fraction form
    7,489.78/11,234.95 = 1,942.98/x
  3. Step 3: Cross multiply
    7,489.78x = 11,234.95 × 1,942.98
  4. Step 4: Simplify right side
    7,489.78x = 21,829,283.15
  5. Step 5: Solve for x
    x = 21,829,283.15/7,489.78
  6. Step 6: Final answer
    x = 2,914.54

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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.