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Finding the Fourth Proportional to 12,882.78, 17,768.57 and 8,638.65

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Solution

The fourth proportional to 12,882.78, 17,768.57 and 8,638.65 is: 11,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.78 : 17,768.57 = 8,638.65 : x
  2. Step 2: Convert to fraction form
    12,882.78/17,768.57 = 8,638.65/x
  3. Step 3: Cross multiply
    12,882.78x = 17,768.57 × 8,638.65
  4. Step 4: Simplify right side
    12,882.78x = 153,496,414.04
  5. Step 5: Solve for x
    x = 153,496,414.04/12,882.78
  6. Step 6: Final answer
    x = 11,914.85

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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.