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Finding the Fourth Proportional to 8,096, 11,172.17 and 4,510.87

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Solution

The fourth proportional to 8,096, 11,172.17 and 4,510.87 is: 6,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096 : 11,172.17 = 4,510.87 : x
  2. Step 2: Convert to fraction form
    8,096/11,172.17 = 4,510.87/x
  3. Step 3: Cross multiply
    8,096x = 11,172.17 × 4,510.87
  4. Step 4: Simplify right side
    8,096x = 50,396,206.49
  5. Step 5: Solve for x
    x = 50,396,206.49/8,096
  6. Step 6: Final answer
    x = 6,224.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.