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Finding the Fourth Proportional to 16,857.88, 23,238.30 and 12,140.44

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Solution

The fourth proportional to 16,857.88, 23,238.30 and 12,140.44 is: 16,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.88 : 23,238.30 = 12,140.44 : x
  2. Step 2: Convert to fraction form
    16,857.88/23,238.30 = 12,140.44/x
  3. Step 3: Cross multiply
    16,857.88x = 23,238.30 × 12,140.44
  4. Step 4: Simplify right side
    16,857.88x = 282,123,186.85
  5. Step 5: Solve for x
    x = 282,123,186.85/16,857.88
  6. Step 6: Final answer
    x = 16,735.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.