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Finding the Fourth Proportional to 8,137.48, 12,198 and 3,210.58

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Solution

The fourth proportional to 8,137.48, 12,198 and 3,210.58 is: 4,812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.48 : 12,198 = 3,210.58 : x
  2. Step 2: Convert to fraction form
    8,137.48/12,198 = 3,210.58/x
  3. Step 3: Cross multiply
    8,137.48x = 12,198 × 3,210.58
  4. Step 4: Simplify right side
    8,137.48x = 39,162,654.84
  5. Step 5: Solve for x
    x = 39,162,654.84/8,137.48
  6. Step 6: Final answer
    x = 4,812.63

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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.