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Finding the Fourth Proportional to 8,102.81, 12,153.81 and 3,173.35

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Solution

The fourth proportional to 8,102.81, 12,153.81 and 3,173.35 is: 4,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.81 : 12,153.81 = 3,173.35 : x
  2. Step 2: Convert to fraction form
    8,102.81/12,153.81 = 3,173.35/x
  3. Step 3: Cross multiply
    8,102.81x = 12,153.81 × 3,173.35
  4. Step 4: Simplify right side
    8,102.81x = 38,568,292.96
  5. Step 5: Solve for x
    x = 38,568,292.96/8,102.81
  6. Step 6: Final answer
    x = 4,759.87

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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.