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Finding the Fourth Proportional to 8,362.82, 12,620.10 and 8,083.97

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Solution

The fourth proportional to 8,362.82, 12,620.10 and 8,083.97 is: 12,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.82 : 12,620.10 = 8,083.97 : x
  2. Step 2: Convert to fraction form
    8,362.82/12,620.10 = 8,083.97/x
  3. Step 3: Cross multiply
    8,362.82x = 12,620.10 × 8,083.97
  4. Step 4: Simplify right side
    8,362.82x = 102,020,446.70
  5. Step 5: Solve for x
    x = 102,020,446.70/8,362.82
  6. Step 6: Final answer
    x = 12,199.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.