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Finding the Fourth Proportional to 8,124, 12,186.62 and 4,612.65

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Solution

The fourth proportional to 8,124, 12,186.62 and 4,612.65 is: 6,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124 : 12,186.62 = 4,612.65 : x
  2. Step 2: Convert to fraction form
    8,124/12,186.62 = 4,612.65/x
  3. Step 3: Cross multiply
    8,124x = 12,186.62 × 4,612.65
  4. Step 4: Simplify right side
    8,124x = 56,212,589.68
  5. Step 5: Solve for x
    x = 56,212,589.68/8,124
  6. Step 6: Final answer
    x = 6,919.32

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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.