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Finding the Fourth Proportional to 10,759, 16,138.50 and 3,463

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Solution

The fourth proportional to 10,759, 16,138.50 and 3,463 is: 5,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759 : 16,138.50 = 3,463 : x
  2. Step 2: Convert to fraction form
    10,759/16,138.50 = 3,463/x
  3. Step 3: Cross multiply
    10,759x = 16,138.50 × 3,463
  4. Step 4: Simplify right side
    10,759x = 55,887,625.50
  5. Step 5: Solve for x
    x = 55,887,625.50/10,759
  6. Step 6: Final answer
    x = 5,194.50

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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.