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Finding the Fourth Proportional to 8,170.35, 12,255.99 and 2,326.50

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Solution

The fourth proportional to 8,170.35, 12,255.99 and 2,326.50 is: 3,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.35 : 12,255.99 = 2,326.50 : x
  2. Step 2: Convert to fraction form
    8,170.35/12,255.99 = 2,326.50/x
  3. Step 3: Cross multiply
    8,170.35x = 12,255.99 × 2,326.50
  4. Step 4: Simplify right side
    8,170.35x = 28,513,560.74
  5. Step 5: Solve for x
    x = 28,513,560.74/8,170.35
  6. Step 6: Final answer
    x = 3,489.88

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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.