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Finding the Fourth Proportional to 49,834, 74,751 and 12,898

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Solution

The fourth proportional to 49,834, 74,751 and 12,898 is: 19,347

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,834 : 74,751 = 12,898 : x
  2. Step 2: Convert to fraction form
    49,834/74,751 = 12,898/x
  3. Step 3: Cross multiply
    49,834x = 74,751 × 12,898
  4. Step 4: Simplify right side
    49,834x = 964,138,398
  5. Step 5: Solve for x
    x = 964,138,398/49,834
  6. Step 6: Final answer
    x = 19,347

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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.