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Finding the Fourth Proportional to 9,231, 13,846.50 and 3,759

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Solution

The fourth proportional to 9,231, 13,846.50 and 3,759 is: 5,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231 : 13,846.50 = 3,759 : x
  2. Step 2: Convert to fraction form
    9,231/13,846.50 = 3,759/x
  3. Step 3: Cross multiply
    9,231x = 13,846.50 × 3,759
  4. Step 4: Simplify right side
    9,231x = 52,048,993.50
  5. Step 5: Solve for x
    x = 52,048,993.50/9,231
  6. Step 6: Final answer
    x = 5,638.50

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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.