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Finding the Fourth Proportional to 18,648.56, 27,972.66 and 8,782.44

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Solution

The fourth proportional to 18,648.56, 27,972.66 and 8,782.44 is: 13,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,648.56 : 27,972.66 = 8,782.44 : x
  2. Step 2: Convert to fraction form
    18,648.56/27,972.66 = 8,782.44/x
  3. Step 3: Cross multiply
    18,648.56x = 27,972.66 × 8,782.44
  4. Step 4: Simplify right side
    18,648.56x = 245,668,208.09
  5. Step 5: Solve for x
    x = 245,668,208.09/18,648.56
  6. Step 6: Final answer
    x = 13,173.58

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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.