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Finding the Fourth Proportional to 8,784.74, 13,169.66 and 3,850.64

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Solution

The fourth proportional to 8,784.74, 13,169.66 and 3,850.64 is: 5,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.74 : 13,169.66 = 3,850.64 : x
  2. Step 2: Convert to fraction form
    8,784.74/13,169.66 = 3,850.64/x
  3. Step 3: Cross multiply
    8,784.74x = 13,169.66 × 3,850.64
  4. Step 4: Simplify right side
    8,784.74x = 50,711,619.58
  5. Step 5: Solve for x
    x = 50,711,619.58/8,784.74
  6. Step 6: Final answer
    x = 5,772.69

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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.