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Finding the Fourth Proportional to 8,154.81, 12,234.33 and 3,775.41

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Solution

The fourth proportional to 8,154.81, 12,234.33 and 3,775.41 is: 5,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.81 : 12,234.33 = 3,775.41 : x
  2. Step 2: Convert to fraction form
    8,154.81/12,234.33 = 3,775.41/x
  3. Step 3: Cross multiply
    8,154.81x = 12,234.33 × 3,775.41
  4. Step 4: Simplify right side
    8,154.81x = 46,189,611.83
  5. Step 5: Solve for x
    x = 46,189,611.83/8,154.81
  6. Step 6: Final answer
    x = 5,664.09

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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.