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Finding the Fourth Proportional to 39,834, 59,751 and 12,132

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Solution

The fourth proportional to 39,834, 59,751 and 12,132 is: 18,198

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,834 : 59,751 = 12,132 : x
  2. Step 2: Convert to fraction form
    39,834/59,751 = 12,132/x
  3. Step 3: Cross multiply
    39,834x = 59,751 × 12,132
  4. Step 4: Simplify right side
    39,834x = 724,899,132
  5. Step 5: Solve for x
    x = 724,899,132/39,834
  6. Step 6: Final answer
    x = 18,198

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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.