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Finding the Fourth Proportional to 8,613.60, 12,919.68 and 2,768.64

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Solution

The fourth proportional to 8,613.60, 12,919.68 and 2,768.64 is: 4,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.60 : 12,919.68 = 2,768.64 : x
  2. Step 2: Convert to fraction form
    8,613.60/12,919.68 = 2,768.64/x
  3. Step 3: Cross multiply
    8,613.60x = 12,919.68 × 2,768.64
  4. Step 4: Simplify right side
    8,613.60x = 35,769,942.84
  5. Step 5: Solve for x
    x = 35,769,942.84/8,613.60
  6. Step 6: Final answer
    x = 4,152.73

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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.