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Finding the Fourth Proportional to 7,978,428.54, 11,967,642.27 and 1,994,796.54

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Solution

The fourth proportional to 7,978,428.54, 11,967,642.27 and 1,994,796.54 is: 2,992,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978,428.54 : 11,967,642.27 = 1,994,796.54 : x
  2. Step 2: Convert to fraction form
    7,978,428.54/11,967,642.27 = 1,994,796.54/x
  3. Step 3: Cross multiply
    7,978,428.54x = 11,967,642.27 × 1,994,796.54
  4. Step 4: Simplify right side
    7,978,428.54x = 23,873,011,392,153.75
  5. Step 5: Solve for x
    x = 23,873,011,392,153.75/7,978,428.54
  6. Step 6: Final answer
    x = 2,992,194.67

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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.