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Finding the Fourth Proportional to 12,855.66, 17,743.74 and 8,371.56

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Solution

The fourth proportional to 12,855.66, 17,743.74 and 8,371.56 is: 11,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.66 : 17,743.74 = 8,371.56 : x
  2. Step 2: Convert to fraction form
    12,855.66/17,743.74 = 8,371.56/x
  3. Step 3: Cross multiply
    12,855.66x = 17,743.74 × 8,371.56
  4. Step 4: Simplify right side
    12,855.66x = 148,542,784.03
  5. Step 5: Solve for x
    x = 148,542,784.03/12,855.66
  6. Step 6: Final answer
    x = 11,554.66

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1.5x scale

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.