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Finding the Fourth Proportional to 8,274.76, 12,414.18 and 2,431.34

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Solution

The fourth proportional to 8,274.76, 12,414.18 and 2,431.34 is: 3,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.76 : 12,414.18 = 2,431.34 : x
  2. Step 2: Convert to fraction form
    8,274.76/12,414.18 = 2,431.34/x
  3. Step 3: Cross multiply
    8,274.76x = 12,414.18 × 2,431.34
  4. Step 4: Simplify right side
    8,274.76x = 30,183,092.40
  5. Step 5: Solve for x
    x = 30,183,092.40/8,274.76
  6. Step 6: Final answer
    x = 3,647.61

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1.5x scale

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.