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Finding the Fourth Proportional to 12,675, 17,491.50 and 7,086

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Solution

The fourth proportional to 12,675, 17,491.50 and 7,086 is: 9,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675 : 17,491.50 = 7,086 : x
  2. Step 2: Convert to fraction form
    12,675/17,491.50 = 7,086/x
  3. Step 3: Cross multiply
    12,675x = 17,491.50 × 7,086
  4. Step 4: Simplify right side
    12,675x = 123,944,769
  5. Step 5: Solve for x
    x = 123,944,769/12,675
  6. Step 6: Final answer
    x = 9,778.68

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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.