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Finding the Fourth Proportional to 25,631.89, 38,443.78 and 8,097.82

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Solution

The fourth proportional to 25,631.89, 38,443.78 and 8,097.82 is: 12,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,631.89 : 38,443.78 = 8,097.82 : x
  2. Step 2: Convert to fraction form
    25,631.89/38,443.78 = 8,097.82/x
  3. Step 3: Cross multiply
    25,631.89x = 38,443.78 × 8,097.82
  4. Step 4: Simplify right side
    25,631.89x = 311,310,810.56
  5. Step 5: Solve for x
    x = 311,310,810.56/25,631.89
  6. Step 6: Final answer
    x = 12,145.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.