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Finding the Fourth Proportional to 15,238.67, 22,857.90 and 4,145.31

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Solution

The fourth proportional to 15,238.67, 22,857.90 and 4,145.31 is: 6,217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.67 : 22,857.90 = 4,145.31 : x
  2. Step 2: Convert to fraction form
    15,238.67/22,857.90 = 4,145.31/x
  3. Step 3: Cross multiply
    15,238.67x = 22,857.90 × 4,145.31
  4. Step 4: Simplify right side
    15,238.67x = 94,753,065.90
  5. Step 5: Solve for x
    x = 94,753,065.90/15,238.67
  6. Step 6: Final answer
    x = 6,217.94

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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.