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Finding the Fourth Proportional to 8,324, 12,486 and 4,220

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Solution

The fourth proportional to 8,324, 12,486 and 4,220 is: 6,330

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324 : 12,486 = 4,220 : x
  2. Step 2: Convert to fraction form
    8,324/12,486 = 4,220/x
  3. Step 3: Cross multiply
    8,324x = 12,486 × 4,220
  4. Step 4: Simplify right side
    8,324x = 52,690,920
  5. Step 5: Solve for x
    x = 52,690,920/8,324
  6. Step 6: Final answer
    x = 6,330

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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.