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Finding the Fourth Proportional to 10,967, 16,450.50 and 2,759

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Solution

The fourth proportional to 10,967, 16,450.50 and 2,759 is: 4,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967 : 16,450.50 = 2,759 : x
  2. Step 2: Convert to fraction form
    10,967/16,450.50 = 2,759/x
  3. Step 3: Cross multiply
    10,967x = 16,450.50 × 2,759
  4. Step 4: Simplify right side
    10,967x = 45,386,929.50
  5. Step 5: Solve for x
    x = 45,386,929.50/10,967
  6. Step 6: Final answer
    x = 4,138.50

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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.