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Finding the Fourth Proportional to 8,406.75, 12,616.20 and 3,212.64

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Solution

The fourth proportional to 8,406.75, 12,616.20 and 3,212.64 is: 4,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.75 : 12,616.20 = 3,212.64 : x
  2. Step 2: Convert to fraction form
    8,406.75/12,616.20 = 3,212.64/x
  3. Step 3: Cross multiply
    8,406.75x = 12,616.20 × 3,212.64
  4. Step 4: Simplify right side
    8,406.75x = 40,531,308.77
  5. Step 5: Solve for x
    x = 40,531,308.77/8,406.75
  6. Step 6: Final answer
    x = 4,821.28

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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.