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Finding the Fourth Proportional to 20,226.60, 27,912.06 and 12,677

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Solution

The fourth proportional to 20,226.60, 27,912.06 and 12,677 is: 17,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,226.60 : 27,912.06 = 12,677 : x
  2. Step 2: Convert to fraction form
    20,226.60/27,912.06 = 12,677/x
  3. Step 3: Cross multiply
    20,226.60x = 27,912.06 × 12,677
  4. Step 4: Simplify right side
    20,226.60x = 353,841,184.62
  5. Step 5: Solve for x
    x = 353,841,184.62/20,226.60
  6. Step 6: Final answer
    x = 17,493.85

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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.