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Finding the Fourth Proportional to 12,789, 17,649 and 7,821

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Solution

The fourth proportional to 12,789, 17,649 and 7,821 is: 10,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789 : 17,649 = 7,821 : x
  2. Step 2: Convert to fraction form
    12,789/17,649 = 7,821/x
  3. Step 3: Cross multiply
    12,789x = 17,649 × 7,821
  4. Step 4: Simplify right side
    12,789x = 138,032,829
  5. Step 5: Solve for x
    x = 138,032,829/12,789
  6. Step 6: Final answer
    x = 10,793.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.