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Finding the Fourth Proportional to 8,386.82, 12,582.39 and 3,189.86

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Solution

The fourth proportional to 8,386.82, 12,582.39 and 3,189.86 is: 4,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.82 : 12,582.39 = 3,189.86 : x
  2. Step 2: Convert to fraction form
    8,386.82/12,582.39 = 3,189.86/x
  3. Step 3: Cross multiply
    8,386.82x = 12,582.39 × 3,189.86
  4. Step 4: Simplify right side
    8,386.82x = 40,136,062.57
  5. Step 5: Solve for x
    x = 40,136,062.57/8,386.82
  6. Step 6: Final answer
    x = 4,785.61

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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.