Home / 8,102.12-12,155.09-3,170.43

Finding the Fourth Proportional to 8,102.12, 12,155.09 and 3,170.43

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Solution

The fourth proportional to 8,102.12, 12,155.09 and 3,170.43 is: 4,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.12 : 12,155.09 = 3,170.43 : x
  2. Step 2: Convert to fraction form
    8,102.12/12,155.09 = 3,170.43/x
  3. Step 3: Cross multiply
    8,102.12x = 12,155.09 × 3,170.43
  4. Step 4: Simplify right side
    8,102.12x = 38,536,846.14
  5. Step 5: Solve for x
    x = 38,536,846.14/8,102.12
  6. Step 6: Final answer
    x = 4,756.39

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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.