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Finding the Fourth Proportional to 12,227.72, 16,874.34 and 6,638.72

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Solution

The fourth proportional to 12,227.72, 16,874.34 and 6,638.72 is: 9,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.72 : 16,874.34 = 6,638.72 : x
  2. Step 2: Convert to fraction form
    12,227.72/16,874.34 = 6,638.72/x
  3. Step 3: Cross multiply
    12,227.72x = 16,874.34 × 6,638.72
  4. Step 4: Simplify right side
    12,227.72x = 112,024,018.44
  5. Step 5: Solve for x
    x = 112,024,018.44/12,227.72
  6. Step 6: Final answer
    x = 9,161.48

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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.