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Finding the Fourth Proportional to 33,282.72, 49,923.92 and 9,909.20

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Solution

The fourth proportional to 33,282.72, 49,923.92 and 9,909.20 is: 14,863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,282.72 : 49,923.92 = 9,909.20 : x
  2. Step 2: Convert to fraction form
    33,282.72/49,923.92 = 9,909.20/x
  3. Step 3: Cross multiply
    33,282.72x = 49,923.92 × 9,909.20
  4. Step 4: Simplify right side
    33,282.72x = 494,706,108.06
  5. Step 5: Solve for x
    x = 494,706,108.06/33,282.72
  6. Step 6: Final answer
    x = 14,863.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.