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Finding the Fourth Proportional to 7,978.45, 11,970.41 and 3,049.50

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Solution

The fourth proportional to 7,978.45, 11,970.41 and 3,049.50 is: 4,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.45 : 11,970.41 = 3,049.50 : x
  2. Step 2: Convert to fraction form
    7,978.45/11,970.41 = 3,049.50/x
  3. Step 3: Cross multiply
    7,978.45x = 11,970.41 × 3,049.50
  4. Step 4: Simplify right side
    7,978.45x = 36,503,736.18
  5. Step 5: Solve for x
    x = 36,503,736.18/7,978.45
  6. Step 6: Final answer
    x = 4,575.29

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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.