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Finding the Fourth Proportional to 7,978,011.36, 11,083,982.16 and 7,882,351.92

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Solution

The fourth proportional to 7,978,011.36, 11,083,982.16 and 7,882,351.92 is: 10,951,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978,011.36 : 11,083,982.16 = 7,882,351.92 : x
  2. Step 2: Convert to fraction form
    7,978,011.36/11,083,982.16 = 7,882,351.92/x
  3. Step 3: Cross multiply
    7,978,011.36x = 11,083,982.16 × 7,882,351.92
  4. Step 4: Simplify right side
    7,978,011.36x = 87,367,848,060,121.75
  5. Step 5: Solve for x
    x = 87,367,848,060,121.75/7,978,011.36
  6. Step 6: Final answer
    x = 10,951,080.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.