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Finding the Fourth Proportional to 25,343.97, 38,013.52 and 7,809.09

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Solution

The fourth proportional to 25,343.97, 38,013.52 and 7,809.09 is: 11,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,343.97 : 38,013.52 = 7,809.09 : x
  2. Step 2: Convert to fraction form
    25,343.97/38,013.52 = 7,809.09/x
  3. Step 3: Cross multiply
    25,343.97x = 38,013.52 × 7,809.09
  4. Step 4: Simplify right side
    25,343.97x = 296,850,998.90
  5. Step 5: Solve for x
    x = 296,850,998.90/25,343.97
  6. Step 6: Final answer
    x = 11,712.88

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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.