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Finding the Fourth Proportional to 8,274.88, 12,414.30 and 4,378.42

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Solution

The fourth proportional to 8,274.88, 12,414.30 and 4,378.42 is: 6,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.88 : 12,414.30 = 4,378.42 : x
  2. Step 2: Convert to fraction form
    8,274.88/12,414.30 = 4,378.42/x
  3. Step 3: Cross multiply
    8,274.88x = 12,414.30 × 4,378.42
  4. Step 4: Simplify right side
    8,274.88x = 54,355,019.41
  5. Step 5: Solve for x
    x = 54,355,019.41/8,274.88
  6. Step 6: Final answer
    x = 6,568.68

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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.