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Finding the Fourth Proportional to 8,255.76, 12,387.84 and 3,328.80

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Solution

The fourth proportional to 8,255.76, 12,387.84 and 3,328.80 is: 4,994.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.76 : 12,387.84 = 3,328.80 : x
  2. Step 2: Convert to fraction form
    8,255.76/12,387.84 = 3,328.80/x
  3. Step 3: Cross multiply
    8,255.76x = 12,387.84 × 3,328.80
  4. Step 4: Simplify right side
    8,255.76x = 41,236,641.79
  5. Step 5: Solve for x
    x = 41,236,641.79/8,255.76
  6. Step 6: Final answer
    x = 4,994.89

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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.