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Finding the Fourth Proportional to 8,582.75, 12,874.13 and 3,388.63

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Solution

The fourth proportional to 8,582.75, 12,874.13 and 3,388.63 is: 5,082.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.75 : 12,874.13 = 3,388.63 : x
  2. Step 2: Convert to fraction form
    8,582.75/12,874.13 = 3,388.63/x
  3. Step 3: Cross multiply
    8,582.75x = 12,874.13 × 3,388.63
  4. Step 4: Simplify right side
    8,582.75x = 43,625,663.14
  5. Step 5: Solve for x
    x = 43,625,663.14/8,582.75
  6. Step 6: Final answer
    x = 5,082.95

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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.