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Finding the Fourth Proportional to 12,215.52, 16,857.18 and 8,023.52

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Solution

The fourth proportional to 12,215.52, 16,857.18 and 8,023.52 is: 11,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.52 : 16,857.18 = 8,023.52 : x
  2. Step 2: Convert to fraction form
    12,215.52/16,857.18 = 8,023.52/x
  3. Step 3: Cross multiply
    12,215.52x = 16,857.18 × 8,023.52
  4. Step 4: Simplify right side
    12,215.52x = 135,253,920.87
  5. Step 5: Solve for x
    x = 135,253,920.87/12,215.52
  6. Step 6: Final answer
    x = 11,072.30

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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.