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Finding the Fourth Proportional to 7,978,012.36, 11,083,983.55 and 7,882,352.92

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Solution

The fourth proportional to 7,978,012.36, 11,083,983.55 and 7,882,352.92 is: 10,951,082.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978,012.36 : 11,083,983.55 = 7,882,352.92 : x
  2. Step 2: Convert to fraction form
    7,978,012.36/11,083,983.55 = 7,882,352.92/x
  3. Step 3: Cross multiply
    7,978,012.36x = 11,083,983.55 × 7,882,352.92
  4. Step 4: Simplify right side
    7,978,012.36x = 87,367,870,100,574.47
  5. Step 5: Solve for x
    x = 87,367,870,100,574.47/7,978,012.36
  6. Step 6: Final answer
    x = 10,951,082.32

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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.