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Finding the Fourth Proportional to 15,238.10, 22,857.15 and 11,782.10

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Solution

The fourth proportional to 15,238.10, 22,857.15 and 11,782.10 is: 17,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.10 : 22,857.15 = 11,782.10 : x
  2. Step 2: Convert to fraction form
    15,238.10/22,857.15 = 11,782.10/x
  3. Step 3: Cross multiply
    15,238.10x = 22,857.15 × 11,782.10
  4. Step 4: Simplify right side
    15,238.10x = 269,305,227.02
  5. Step 5: Solve for x
    x = 269,305,227.02/15,238.10
  6. Step 6: Final answer
    x = 17,673.15

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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.