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Finding the Fourth Proportional to 18,498, 27,744.96 and 4,647

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Solution

The fourth proportional to 18,498, 27,744.96 and 4,647 is: 6,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,498 : 27,744.96 = 4,647 : x
  2. Step 2: Convert to fraction form
    18,498/27,744.96 = 4,647/x
  3. Step 3: Cross multiply
    18,498x = 27,744.96 × 4,647
  4. Step 4: Simplify right side
    18,498x = 128,930,829.12
  5. Step 5: Solve for x
    x = 128,930,829.12/18,498
  6. Step 6: Final answer
    x = 6,969.99

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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.