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Finding the Fourth Proportional to 8,178.58, 12,267.99 and 2,255.41

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Solution

The fourth proportional to 8,178.58, 12,267.99 and 2,255.41 is: 3,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.58 : 12,267.99 = 2,255.41 : x
  2. Step 2: Convert to fraction form
    8,178.58/12,267.99 = 2,255.41/x
  3. Step 3: Cross multiply
    8,178.58x = 12,267.99 × 2,255.41
  4. Step 4: Simplify right side
    8,178.58x = 27,669,347.33
  5. Step 5: Solve for x
    x = 27,669,347.33/8,178.58
  6. Step 6: Final answer
    x = 3,383.15

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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.