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Finding the Fourth Proportional to 18,645.54, 27,972.92 and 8,782.52

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Solution

The fourth proportional to 18,645.54, 27,972.92 and 8,782.52 is: 13,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,645.54 : 27,972.92 = 8,782.52 : x
  2. Step 2: Convert to fraction form
    18,645.54/27,972.92 = 8,782.52/x
  3. Step 3: Cross multiply
    18,645.54x = 27,972.92 × 8,782.52
  4. Step 4: Simplify right side
    18,645.54x = 245,672,545.58
  5. Step 5: Solve for x
    x = 245,672,545.58/18,645.54
  6. Step 6: Final answer
    x = 13,175.94

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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.