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Finding the Fourth Proportional to 8,318, 12,477.76 and 2,162

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Solution

The fourth proportional to 8,318, 12,477.76 and 2,162 is: 3,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318 : 12,477.76 = 2,162 : x
  2. Step 2: Convert to fraction form
    8,318/12,477.76 = 2,162/x
  3. Step 3: Cross multiply
    8,318x = 12,477.76 × 2,162
  4. Step 4: Simplify right side
    8,318x = 26,976,917.12
  5. Step 5: Solve for x
    x = 26,976,917.12/8,318
  6. Step 6: Final answer
    x = 3,243.20

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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.