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Finding the Fourth Proportional to 8,158, 12,236.96 and 2,314.62

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Solution

The fourth proportional to 8,158, 12,236.96 and 2,314.62 is: 3,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158 : 12,236.96 = 2,314.62 : x
  2. Step 2: Convert to fraction form
    8,158/12,236.96 = 2,314.62/x
  3. Step 3: Cross multiply
    8,158x = 12,236.96 × 2,314.62
  4. Step 4: Simplify right side
    8,158x = 28,323,912.36
  5. Step 5: Solve for x
    x = 28,323,912.36/8,158
  6. Step 6: Final answer
    x = 3,471.92

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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.