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Finding the Fourth Proportional to 8,686, 13,046.49 and 5,182.86

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Solution

The fourth proportional to 8,686, 13,046.49 and 5,182.86 is: 7,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686 : 13,046.49 = 5,182.86 : x
  2. Step 2: Convert to fraction form
    8,686/13,046.49 = 5,182.86/x
  3. Step 3: Cross multiply
    8,686x = 13,046.49 × 5,182.86
  4. Step 4: Simplify right side
    8,686x = 67,618,131.16
  5. Step 5: Solve for x
    x = 67,618,131.16/8,686
  6. Step 6: Final answer
    x = 7,784.73

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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.