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Finding the Fourth Proportional to 8,151.40, 12,231.22 and 3,772

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Solution

The fourth proportional to 8,151.40, 12,231.22 and 3,772 is: 5,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.40 : 12,231.22 = 3,772 : x
  2. Step 2: Convert to fraction form
    8,151.40/12,231.22 = 3,772/x
  3. Step 3: Cross multiply
    8,151.40x = 12,231.22 × 3,772
  4. Step 4: Simplify right side
    8,151.40x = 46,136,161.84
  5. Step 5: Solve for x
    x = 46,136,161.84/8,151.40
  6. Step 6: Final answer
    x = 5,659.91

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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.