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Finding the Fourth Proportional to 12,227.90, 16,882.90 and 8,254.58

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Solution

The fourth proportional to 12,227.90, 16,882.90 and 8,254.58 is: 11,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.90 : 16,882.90 = 8,254.58 : x
  2. Step 2: Convert to fraction form
    12,227.90/16,882.90 = 8,254.58/x
  3. Step 3: Cross multiply
    12,227.90x = 16,882.90 × 8,254.58
  4. Step 4: Simplify right side
    12,227.90x = 139,361,143.63
  5. Step 5: Solve for x
    x = 139,361,143.63/12,227.90
  6. Step 6: Final answer
    x = 11,396.99

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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.