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Finding the Fourth Proportional to 8,162, 11,264.52 and 4,850

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Solution

The fourth proportional to 8,162, 11,264.52 and 4,850 is: 6,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162 : 11,264.52 = 4,850 : x
  2. Step 2: Convert to fraction form
    8,162/11,264.52 = 4,850/x
  3. Step 3: Cross multiply
    8,162x = 11,264.52 × 4,850
  4. Step 4: Simplify right side
    8,162x = 54,632,922
  5. Step 5: Solve for x
    x = 54,632,922/8,162
  6. Step 6: Final answer
    x = 6,693.57

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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.