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Finding the Fourth Proportional to 18,702.41, 28,069.82 and 9,824

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Solution

The fourth proportional to 18,702.41, 28,069.82 and 9,824 is: 14,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,702.41 : 28,069.82 = 9,824 : x
  2. Step 2: Convert to fraction form
    18,702.41/28,069.82 = 9,824/x
  3. Step 3: Cross multiply
    18,702.41x = 28,069.82 × 9,824
  4. Step 4: Simplify right side
    18,702.41x = 275,757,911.68
  5. Step 5: Solve for x
    x = 275,757,911.68/18,702.41
  6. Step 6: Final answer
    x = 14,744.51

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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.