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Finding the Fourth Proportional to 8,284.34, 12,415.44 and 6,906.44

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Solution

The fourth proportional to 8,284.34, 12,415.44 and 6,906.44 is: 10,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.34 : 12,415.44 = 6,906.44 : x
  2. Step 2: Convert to fraction form
    8,284.34/12,415.44 = 6,906.44/x
  3. Step 3: Cross multiply
    8,284.34x = 12,415.44 × 6,906.44
  4. Step 4: Simplify right side
    8,284.34x = 85,746,491.43
  5. Step 5: Solve for x
    x = 85,746,491.43/8,284.34
  6. Step 6: Final answer
    x = 10,350.43

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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.