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Finding the Fourth Proportional to 8,168.40, 12,254.40 and 3,784.80

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Solution

The fourth proportional to 8,168.40, 12,254.40 and 3,784.80 is: 5,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,168.40 : 12,254.40 = 3,784.80 : x
  2. Step 2: Convert to fraction form
    8,168.40/12,254.40 = 3,784.80/x
  3. Step 3: Cross multiply
    8,168.40x = 12,254.40 × 3,784.80
  4. Step 4: Simplify right side
    8,168.40x = 46,380,453.12
  5. Step 5: Solve for x
    x = 46,380,453.12/8,168.40
  6. Step 6: Final answer
    x = 5,678.03

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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.