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Finding the Fourth Proportional to 8,520.86, 12,784.48 and 3,839.47

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Solution

The fourth proportional to 8,520.86, 12,784.48 and 3,839.47 is: 5,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.86 : 12,784.48 = 3,839.47 : x
  2. Step 2: Convert to fraction form
    8,520.86/12,784.48 = 3,839.47/x
  3. Step 3: Cross multiply
    8,520.86x = 12,784.48 × 3,839.47
  4. Step 4: Simplify right side
    8,520.86x = 49,085,585.87
  5. Step 5: Solve for x
    x = 49,085,585.87/8,520.86
  6. Step 6: Final answer
    x = 5,760.64

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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.