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Finding the Fourth Proportional to 7,978.50, 11,967.74 and 2,134.95

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Solution

The fourth proportional to 7,978.50, 11,967.74 and 2,134.95 is: 3,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.50 : 11,967.74 = 2,134.95 : x
  2. Step 2: Convert to fraction form
    7,978.50/11,967.74 = 2,134.95/x
  3. Step 3: Cross multiply
    7,978.50x = 11,967.74 × 2,134.95
  4. Step 4: Simplify right side
    7,978.50x = 25,550,515.84
  5. Step 5: Solve for x
    x = 25,550,515.84/7,978.50
  6. Step 6: Final answer
    x = 3,202.42

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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.