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Finding the Fourth Proportional to 33,098, 45,675.24 and 21,920

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Solution

The fourth proportional to 33,098, 45,675.24 and 21,920 is: 30,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098 : 45,675.24 = 21,920 : x
  2. Step 2: Convert to fraction form
    33,098/45,675.24 = 21,920/x
  3. Step 3: Cross multiply
    33,098x = 45,675.24 × 21,920
  4. Step 4: Simplify right side
    33,098x = 1,001,201,260.80
  5. Step 5: Solve for x
    x = 1,001,201,260.80/33,098
  6. Step 6: Final answer
    x = 30,249.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.