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Finding the Fourth Proportional to 7,962, 11,940.92 and 3,028.98

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Solution

The fourth proportional to 7,962, 11,940.92 and 3,028.98 is: 4,542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962 : 11,940.92 = 3,028.98 : x
  2. Step 2: Convert to fraction form
    7,962/11,940.92 = 3,028.98/x
  3. Step 3: Cross multiply
    7,962x = 11,940.92 × 3,028.98
  4. Step 4: Simplify right side
    7,962x = 36,168,807.86
  5. Step 5: Solve for x
    x = 36,168,807.86/7,962
  6. Step 6: Final answer
    x = 4,542.68

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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.