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Finding the Fourth Proportional to 7,921.94, 11,882.01 and 2,079.01

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Solution

The fourth proportional to 7,921.94, 11,882.01 and 2,079.01 is: 3,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.94 : 11,882.01 = 2,079.01 : x
  2. Step 2: Convert to fraction form
    7,921.94/11,882.01 = 2,079.01/x
  3. Step 3: Cross multiply
    7,921.94x = 11,882.01 × 2,079.01
  4. Step 4: Simplify right side
    7,921.94x = 24,702,758.20
  5. Step 5: Solve for x
    x = 24,702,758.20/7,921.94
  6. Step 6: Final answer
    x = 3,118.27

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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.