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Finding the Fourth Proportional to 8,680.94, 13,025.34 and 3,414.50

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Solution

The fourth proportional to 8,680.94, 13,025.34 and 3,414.50 is: 5,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,680.94 : 13,025.34 = 3,414.50 : x
  2. Step 2: Convert to fraction form
    8,680.94/13,025.34 = 3,414.50/x
  3. Step 3: Cross multiply
    8,680.94x = 13,025.34 × 3,414.50
  4. Step 4: Simplify right side
    8,680.94x = 44,475,023.43
  5. Step 5: Solve for x
    x = 44,475,023.43/8,680.94
  6. Step 6: Final answer
    x = 5,123.30

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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.