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Finding the Fourth Proportional to 8,612.32, 12,919.86 and 3,682

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Solution

The fourth proportional to 8,612.32, 12,919.86 and 3,682 is: 5,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.32 : 12,919.86 = 3,682 : x
  2. Step 2: Convert to fraction form
    8,612.32/12,919.86 = 3,682/x
  3. Step 3: Cross multiply
    8,612.32x = 12,919.86 × 3,682
  4. Step 4: Simplify right side
    8,612.32x = 47,570,924.52
  5. Step 5: Solve for x
    x = 47,570,924.52/8,612.32
  6. Step 6: Final answer
    x = 5,523.59

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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.