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Finding the Fourth Proportional to 8,410.40, 12,612.32 and 3,213.44

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Solution

The fourth proportional to 8,410.40, 12,612.32 and 3,213.44 is: 4,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.40 : 12,612.32 = 3,213.44 : x
  2. Step 2: Convert to fraction form
    8,410.40/12,612.32 = 3,213.44/x
  3. Step 3: Cross multiply
    8,410.40x = 12,612.32 × 3,213.44
  4. Step 4: Simplify right side
    8,410.40x = 40,528,933.58
  5. Step 5: Solve for x
    x = 40,528,933.58/8,410.40
  6. Step 6: Final answer
    x = 4,818.91

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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.