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Finding the Fourth Proportional to 25,342.97, 38,012.03 and 7,808.09

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Solution

The fourth proportional to 25,342.97, 38,012.03 and 7,808.09 is: 11,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,342.97 : 38,012.03 = 7,808.09 : x
  2. Step 2: Convert to fraction form
    25,342.97/38,012.03 = 7,808.09/x
  3. Step 3: Cross multiply
    25,342.97x = 38,012.03 × 7,808.09
  4. Step 4: Simplify right side
    25,342.97x = 296,801,312.28
  5. Step 5: Solve for x
    x = 296,801,312.28/25,342.97
  6. Step 6: Final answer
    x = 11,711.39

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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.