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Finding the Fourth Proportional to 8,143, 12,214.62 and 2,671

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Solution

The fourth proportional to 8,143, 12,214.62 and 2,671 is: 4,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143 : 12,214.62 = 2,671 : x
  2. Step 2: Convert to fraction form
    8,143/12,214.62 = 2,671/x
  3. Step 3: Cross multiply
    8,143x = 12,214.62 × 2,671
  4. Step 4: Simplify right side
    8,143x = 32,625,250.02
  5. Step 5: Solve for x
    x = 32,625,250.02/8,143
  6. Step 6: Final answer
    x = 4,006.54

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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.