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Finding the Fourth Proportional to 15,396.30, 23,083.52 and 7,902.12

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Solution

The fourth proportional to 15,396.30, 23,083.52 and 7,902.12 is: 11,847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,396.30 : 23,083.52 = 7,902.12 : x
  2. Step 2: Convert to fraction form
    15,396.30/23,083.52 = 7,902.12/x
  3. Step 3: Cross multiply
    15,396.30x = 23,083.52 × 7,902.12
  4. Step 4: Simplify right side
    15,396.30x = 182,408,745.06
  5. Step 5: Solve for x
    x = 182,408,745.06/15,396.30
  6. Step 6: Final answer
    x = 11,847.57

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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.