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Finding the Fourth Proportional to 43,591, 65,386.50 and 10,759

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Solution

The fourth proportional to 43,591, 65,386.50 and 10,759 is: 16,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,591 : 65,386.50 = 10,759 : x
  2. Step 2: Convert to fraction form
    43,591/65,386.50 = 10,759/x
  3. Step 3: Cross multiply
    43,591x = 65,386.50 × 10,759
  4. Step 4: Simplify right side
    43,591x = 703,493,353.50
  5. Step 5: Solve for x
    x = 703,493,353.50/43,591
  6. Step 6: Final answer
    x = 16,138.50

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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.