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Finding the Fourth Proportional to 8,606, 12,911.16 and 2,450

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Solution

The fourth proportional to 8,606, 12,911.16 and 2,450 is: 3,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,606 : 12,911.16 = 2,450 : x
  2. Step 2: Convert to fraction form
    8,606/12,911.16 = 2,450/x
  3. Step 3: Cross multiply
    8,606x = 12,911.16 × 2,450
  4. Step 4: Simplify right side
    8,606x = 31,632,342
  5. Step 5: Solve for x
    x = 31,632,342/8,606
  6. Step 6: Final answer
    x = 3,675.61

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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.