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Finding the Fourth Proportional to 8,234, 12,351 and 2,078

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Solution

The fourth proportional to 8,234, 12,351 and 2,078 is: 3,117

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234 : 12,351 = 2,078 : x
  2. Step 2: Convert to fraction form
    8,234/12,351 = 2,078/x
  3. Step 3: Cross multiply
    8,234x = 12,351 × 2,078
  4. Step 4: Simplify right side
    8,234x = 25,665,378
  5. Step 5: Solve for x
    x = 25,665,378/8,234
  6. Step 6: Final answer
    x = 3,117

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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.