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Finding the Fourth Proportional to 8,102, 12,153 and 2,630

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Solution

The fourth proportional to 8,102, 12,153 and 2,630 is: 3,945

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102 : 12,153 = 2,630 : x
  2. Step 2: Convert to fraction form
    8,102/12,153 = 2,630/x
  3. Step 3: Cross multiply
    8,102x = 12,153 × 2,630
  4. Step 4: Simplify right side
    8,102x = 31,962,390
  5. Step 5: Solve for x
    x = 31,962,390/8,102
  6. Step 6: Final answer
    x = 3,945

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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.