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Finding the Fourth Proportional to 8,162.16, 12,239.16 and 3,775.86

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Solution

The fourth proportional to 8,162.16, 12,239.16 and 3,775.86 is: 5,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.16 : 12,239.16 = 3,775.86 : x
  2. Step 2: Convert to fraction form
    8,162.16/12,239.16 = 3,775.86/x
  3. Step 3: Cross multiply
    8,162.16x = 12,239.16 × 3,775.86
  4. Step 4: Simplify right side
    8,162.16x = 46,213,354.68
  5. Step 5: Solve for x
    x = 46,213,354.68/8,162.16
  6. Step 6: Final answer
    x = 5,661.90

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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.