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Finding the Fourth Proportional to 12,143.66, 16,758.49 and 7,362.43

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Solution

The fourth proportional to 12,143.66, 16,758.49 and 7,362.43 is: 10,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.66 : 16,758.49 = 7,362.43 : x
  2. Step 2: Convert to fraction form
    12,143.66/16,758.49 = 7,362.43/x
  3. Step 3: Cross multiply
    12,143.66x = 16,758.49 × 7,362.43
  4. Step 4: Simplify right side
    12,143.66x = 123,383,257.30
  5. Step 5: Solve for x
    x = 123,383,257.30/12,143.66
  6. Step 6: Final answer
    x = 10,160.30

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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.