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Finding the Fourth Proportional to 54,525, 81,787.50 and 17,589

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Solution

The fourth proportional to 54,525, 81,787.50 and 17,589 is: 26,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,525 : 81,787.50 = 17,589 : x
  2. Step 2: Convert to fraction form
    54,525/81,787.50 = 17,589/x
  3. Step 3: Cross multiply
    54,525x = 81,787.50 × 17,589
  4. Step 4: Simplify right side
    54,525x = 1,438,560,337.50
  5. Step 5: Solve for x
    x = 1,438,560,337.50/54,525
  6. Step 6: Final answer
    x = 26,383.50

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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.