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Finding the Fourth Proportional to 7,984.65, 11,018.52 and 4,447.79

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Solution

The fourth proportional to 7,984.65, 11,018.52 and 4,447.79 is: 6,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.65 : 11,018.52 = 4,447.79 : x
  2. Step 2: Convert to fraction form
    7,984.65/11,018.52 = 4,447.79/x
  3. Step 3: Cross multiply
    7,984.65x = 11,018.52 × 4,447.79
  4. Step 4: Simplify right side
    7,984.65x = 49,008,007.98
  5. Step 5: Solve for x
    x = 49,008,007.98/7,984.65
  6. Step 6: Final answer
    x = 6,137.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.