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Finding the Fourth Proportional to 18,645.26, 27,954.86 and 8,775

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Solution

The fourth proportional to 18,645.26, 27,954.86 and 8,775 is: 13,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,645.26 : 27,954.86 = 8,775 : x
  2. Step 2: Convert to fraction form
    18,645.26/27,954.86 = 8,775/x
  3. Step 3: Cross multiply
    18,645.26x = 27,954.86 × 8,775
  4. Step 4: Simplify right side
    18,645.26x = 245,303,852.63
  5. Step 5: Solve for x
    x = 245,303,852.63/18,645.26
  6. Step 6: Final answer
    x = 13,156.37

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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.