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Finding the Fourth Proportional to 8,320, 12,480 and 2,164

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Solution

The fourth proportional to 8,320, 12,480 and 2,164 is: 3,246

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320 : 12,480 = 2,164 : x
  2. Step 2: Convert to fraction form
    8,320/12,480 = 2,164/x
  3. Step 3: Cross multiply
    8,320x = 12,480 × 2,164
  4. Step 4: Simplify right side
    8,320x = 27,006,720
  5. Step 5: Solve for x
    x = 27,006,720/8,320
  6. Step 6: Final answer
    x = 3,246

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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.