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Finding the Fourth Proportional to 10,671, 16,006.50 and 3,375

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Solution

The fourth proportional to 10,671, 16,006.50 and 3,375 is: 5,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671 : 16,006.50 = 3,375 : x
  2. Step 2: Convert to fraction form
    10,671/16,006.50 = 3,375/x
  3. Step 3: Cross multiply
    10,671x = 16,006.50 × 3,375
  4. Step 4: Simplify right side
    10,671x = 54,021,937.50
  5. Step 5: Solve for x
    x = 54,021,937.50/10,671
  6. Step 6: Final answer
    x = 5,062.50

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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.