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Finding the Fourth Proportional to 13,187, 18,198.06 and 7,299

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Solution

The fourth proportional to 13,187, 18,198.06 and 7,299 is: 10,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187 : 18,198.06 = 7,299 : x
  2. Step 2: Convert to fraction form
    13,187/18,198.06 = 7,299/x
  3. Step 3: Cross multiply
    13,187x = 18,198.06 × 7,299
  4. Step 4: Simplify right side
    13,187x = 132,827,639.94
  5. Step 5: Solve for x
    x = 132,827,639.94/13,187
  6. Step 6: Final answer
    x = 10,072.62

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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.