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Finding the Fourth Proportional to 8,215.75, 12,323.67 and 2,059.75

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Solution

The fourth proportional to 8,215.75, 12,323.67 and 2,059.75 is: 3,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.75 : 12,323.67 = 2,059.75 : x
  2. Step 2: Convert to fraction form
    8,215.75/12,323.67 = 2,059.75/x
  3. Step 3: Cross multiply
    8,215.75x = 12,323.67 × 2,059.75
  4. Step 4: Simplify right side
    8,215.75x = 25,383,679.28
  5. Step 5: Solve for x
    x = 25,383,679.28/8,215.75
  6. Step 6: Final answer
    x = 3,089.64

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1.5x scale

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.