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Finding the Fourth Proportional to 8,195.67, 12,287.12 and 3,812.55

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Solution

The fourth proportional to 8,195.67, 12,287.12 and 3,812.55 is: 5,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.67 : 12,287.12 = 3,812.55 : x
  2. Step 2: Convert to fraction form
    8,195.67/12,287.12 = 3,812.55/x
  3. Step 3: Cross multiply
    8,195.67x = 12,287.12 × 3,812.55
  4. Step 4: Simplify right side
    8,195.67x = 46,845,240.29
  5. Step 5: Solve for x
    x = 46,845,240.29/8,195.67
  6. Step 6: Final answer
    x = 5,715.85

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1.5x scale

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.