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Finding the Fourth Proportional to 8,408.34, 12,604.68 and 2,857.86

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Solution

The fourth proportional to 8,408.34, 12,604.68 and 2,857.86 is: 4,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.34 : 12,604.68 = 2,857.86 : x
  2. Step 2: Convert to fraction form
    8,408.34/12,604.68 = 2,857.86/x
  3. Step 3: Cross multiply
    8,408.34x = 12,604.68 × 2,857.86
  4. Step 4: Simplify right side
    8,408.34x = 36,022,410.78
  5. Step 5: Solve for x
    x = 36,022,410.78/8,408.34
  6. Step 6: Final answer
    x = 4,284.13

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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.