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Finding the Fourth Proportional to 8,162, 11,263.56 and 4,436

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Solution

The fourth proportional to 8,162, 11,263.56 and 4,436 is: 6,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162 : 11,263.56 = 4,436 : x
  2. Step 2: Convert to fraction form
    8,162/11,263.56 = 4,436/x
  3. Step 3: Cross multiply
    8,162x = 11,263.56 × 4,436
  4. Step 4: Simplify right side
    8,162x = 49,965,152.16
  5. Step 5: Solve for x
    x = 49,965,152.16/8,162
  6. Step 6: Final answer
    x = 6,121.68

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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.