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Finding the Fourth Proportional to 25,198.20, 34,773.84 and 13,869

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Solution

The fourth proportional to 25,198.20, 34,773.84 and 13,869 is: 19,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,198.20 : 34,773.84 = 13,869 : x
  2. Step 2: Convert to fraction form
    25,198.20/34,773.84 = 13,869/x
  3. Step 3: Cross multiply
    25,198.20x = 34,773.84 × 13,869
  4. Step 4: Simplify right side
    25,198.20x = 482,278,386.96
  5. Step 5: Solve for x
    x = 482,278,386.96/25,198.20
  6. Step 6: Final answer
    x = 19,139.40

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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.