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Finding the Fourth Proportional to 49,788, 74,682 and 12,852

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Solution

The fourth proportional to 49,788, 74,682 and 12,852 is: 19,278

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,788 : 74,682 = 12,852 : x
  2. Step 2: Convert to fraction form
    49,788/74,682 = 12,852/x
  3. Step 3: Cross multiply
    49,788x = 74,682 × 12,852
  4. Step 4: Simplify right side
    49,788x = 959,813,064
  5. Step 5: Solve for x
    x = 959,813,064/49,788
  6. Step 6: Final answer
    x = 19,278

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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.