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Finding the Fourth Proportional to 8,408.09, 12,612.10 and 2,564.68

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Solution

The fourth proportional to 8,408.09, 12,612.10 and 2,564.68 is: 3,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.09 : 12,612.10 = 2,564.68 : x
  2. Step 2: Convert to fraction form
    8,408.09/12,612.10 = 2,564.68/x
  3. Step 3: Cross multiply
    8,408.09x = 12,612.10 × 2,564.68
  4. Step 4: Simplify right side
    8,408.09x = 32,346,000.63
  5. Step 5: Solve for x
    x = 32,346,000.63/8,408.09
  6. Step 6: Final answer
    x = 3,847.01

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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.