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Finding the Fourth Proportional to 8,427, 12,640.50 and 2,271

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Solution

The fourth proportional to 8,427, 12,640.50 and 2,271 is: 3,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427 : 12,640.50 = 2,271 : x
  2. Step 2: Convert to fraction form
    8,427/12,640.50 = 2,271/x
  3. Step 3: Cross multiply
    8,427x = 12,640.50 × 2,271
  4. Step 4: Simplify right side
    8,427x = 28,706,575.50
  5. Step 5: Solve for x
    x = 28,706,575.50/8,427
  6. Step 6: Final answer
    x = 3,406.50

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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.