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Finding the Fourth Proportional to 22,415.73, 30,930.84 and 13,464.83

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Solution

The fourth proportional to 22,415.73, 30,930.84 and 13,464.83 is: 18,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.73 : 30,930.84 = 13,464.83 : x
  2. Step 2: Convert to fraction form
    22,415.73/30,930.84 = 13,464.83/x
  3. Step 3: Cross multiply
    22,415.73x = 30,930.84 × 13,464.83
  4. Step 4: Simplify right side
    22,415.73x = 416,478,347.70
  5. Step 5: Solve for x
    x = 416,478,347.70/22,415.73
  6. Step 6: Final answer
    x = 18,579.74

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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.