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Finding the Fourth Proportional to 8,406, 12,613.86 and 3,789

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Solution

The fourth proportional to 8,406, 12,613.86 and 3,789 is: 5,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406 : 12,613.86 = 3,789 : x
  2. Step 2: Convert to fraction form
    8,406/12,613.86 = 3,789/x
  3. Step 3: Cross multiply
    8,406x = 12,613.86 × 3,789
  4. Step 4: Simplify right side
    8,406x = 47,793,915.54
  5. Step 5: Solve for x
    x = 47,793,915.54/8,406
  6. Step 6: Final answer
    x = 5,685.69

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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.