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Finding the Fourth Proportional to 51,788, 77,682 and 12,876

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Solution

The fourth proportional to 51,788, 77,682 and 12,876 is: 19,314

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,788 : 77,682 = 12,876 : x
  2. Step 2: Convert to fraction form
    51,788/77,682 = 12,876/x
  3. Step 3: Cross multiply
    51,788x = 77,682 × 12,876
  4. Step 4: Simplify right side
    51,788x = 1,000,233,432
  5. Step 5: Solve for x
    x = 1,000,233,432/51,788
  6. Step 6: Final answer
    x = 19,314

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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.