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Finding the Fourth Proportional to 8,347, 12,520.50 and 2,191

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Solution

The fourth proportional to 8,347, 12,520.50 and 2,191 is: 3,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347 : 12,520.50 = 2,191 : x
  2. Step 2: Convert to fraction form
    8,347/12,520.50 = 2,191/x
  3. Step 3: Cross multiply
    8,347x = 12,520.50 × 2,191
  4. Step 4: Simplify right side
    8,347x = 27,432,415.50
  5. Step 5: Solve for x
    x = 27,432,415.50/8,347
  6. Step 6: Final answer
    x = 3,286.50

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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.