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Finding the Fourth Proportional to 8,174.46, 12,243.23 and 3,782.69

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Solution

The fourth proportional to 8,174.46, 12,243.23 and 3,782.69 is: 5,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.46 : 12,243.23 = 3,782.69 : x
  2. Step 2: Convert to fraction form
    8,174.46/12,243.23 = 3,782.69/x
  3. Step 3: Cross multiply
    8,174.46x = 12,243.23 × 3,782.69
  4. Step 4: Simplify right side
    8,174.46x = 46,312,343.69
  5. Step 5: Solve for x
    x = 46,312,343.69/8,174.46
  6. Step 6: Final answer
    x = 5,665.49

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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.