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Finding the Fourth Proportional to 8,102.84, 12,149.22 and 3,420.44

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Solution

The fourth proportional to 8,102.84, 12,149.22 and 3,420.44 is: 5,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.84 : 12,149.22 = 3,420.44 : x
  2. Step 2: Convert to fraction form
    8,102.84/12,149.22 = 3,420.44/x
  3. Step 3: Cross multiply
    8,102.84x = 12,149.22 × 3,420.44
  4. Step 4: Simplify right side
    8,102.84x = 41,555,678.06
  5. Step 5: Solve for x
    x = 41,555,678.06/8,102.84
  6. Step 6: Final answer
    x = 5,128.53

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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.