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Finding the Fourth Proportional to 17,729.70, 24,468.12 and 9,772.80

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Solution

The fourth proportional to 17,729.70, 24,468.12 and 9,772.80 is: 13,487.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.70 : 24,468.12 = 9,772.80 : x
  2. Step 2: Convert to fraction form
    17,729.70/24,468.12 = 9,772.80/x
  3. Step 3: Cross multiply
    17,729.70x = 24,468.12 × 9,772.80
  4. Step 4: Simplify right side
    17,729.70x = 239,122,043.14
  5. Step 5: Solve for x
    x = 239,122,043.14/17,729.70
  6. Step 6: Final answer
    x = 13,487.09

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