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Finding the Fourth Proportional to 3,414.96, 5,115.96 and 1,684.80

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Solution

The fourth proportional to 3,414.96, 5,115.96 and 1,684.80 is: 2,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.96 : 5,115.96 = 1,684.80 : x
  2. Step 2: Convert to fraction form
    3,414.96/5,115.96 = 1,684.80/x
  3. Step 3: Cross multiply
    3,414.96x = 5,115.96 × 1,684.80
  4. Step 4: Simplify right side
    3,414.96x = 8,619,369.41
  5. Step 5: Solve for x
    x = 8,619,369.41/3,414.96
  6. Step 6: Final answer
    x = 2,524.00

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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.