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Finding the Fourth Proportional to 33,759, 50,638.50 and 9,135

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Solution

The fourth proportional to 33,759, 50,638.50 and 9,135 is: 13,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,759 : 50,638.50 = 9,135 : x
  2. Step 2: Convert to fraction form
    33,759/50,638.50 = 9,135/x
  3. Step 3: Cross multiply
    33,759x = 50,638.50 × 9,135
  4. Step 4: Simplify right side
    33,759x = 462,582,697.50
  5. Step 5: Solve for x
    x = 462,582,697.50/33,759
  6. Step 6: Final answer
    x = 13,702.50

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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.