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Finding the Fourth Proportional to 8,512.65, 12,768.98 and 2,272.69

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Solution

The fourth proportional to 8,512.65, 12,768.98 and 2,272.69 is: 3,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.65 : 12,768.98 = 2,272.69 : x
  2. Step 2: Convert to fraction form
    8,512.65/12,768.98 = 2,272.69/x
  3. Step 3: Cross multiply
    8,512.65x = 12,768.98 × 2,272.69
  4. Step 4: Simplify right side
    8,512.65x = 29,019,869.31
  5. Step 5: Solve for x
    x = 29,019,869.31/8,512.65
  6. Step 6: Final answer
    x = 3,409.03

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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.