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Finding the Fourth Proportional to 8,414.03, 12,613 and 3,147.61

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Solution

The fourth proportional to 8,414.03, 12,613 and 3,147.61 is: 4,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.03 : 12,613 = 3,147.61 : x
  2. Step 2: Convert to fraction form
    8,414.03/12,613 = 3,147.61/x
  3. Step 3: Cross multiply
    8,414.03x = 12,613 × 3,147.61
  4. Step 4: Simplify right side
    8,414.03x = 39,700,804.93
  5. Step 5: Solve for x
    x = 39,700,804.93/8,414.03
  6. Step 6: Final answer
    x = 4,718.41

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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.