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Finding the Fourth Proportional to 22,357.82, 30,855.30 and 12,800.72

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Solution

The fourth proportional to 22,357.82, 30,855.30 and 12,800.72 is: 17,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.82 : 30,855.30 = 12,800.72 : x
  2. Step 2: Convert to fraction form
    22,357.82/30,855.30 = 12,800.72/x
  3. Step 3: Cross multiply
    22,357.82x = 30,855.30 × 12,800.72
  4. Step 4: Simplify right side
    22,357.82x = 394,970,055.82
  5. Step 5: Solve for x
    x = 394,970,055.82/22,357.82
  6. Step 6: Final answer
    x = 17,665.86

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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.