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Finding the Fourth Proportional to 33,810.40, 50,704.80 and 14,084.20

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Solution

The fourth proportional to 33,810.40, 50,704.80 and 14,084.20 is: 21,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,810.40 : 50,704.80 = 14,084.20 : x
  2. Step 2: Convert to fraction form
    33,810.40/50,704.80 = 14,084.20/x
  3. Step 3: Cross multiply
    33,810.40x = 50,704.80 × 14,084.20
  4. Step 4: Simplify right side
    33,810.40x = 714,136,544.16
  5. Step 5: Solve for x
    x = 714,136,544.16/33,810.40
  6. Step 6: Final answer
    x = 21,121.80

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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.