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Finding the Fourth Proportional to 13,874.76, 20,817.38 and 8,331.96

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Solution

The fourth proportional to 13,874.76, 20,817.38 and 8,331.96 is: 12,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.76 : 20,817.38 = 8,331.96 : x
  2. Step 2: Convert to fraction form
    13,874.76/20,817.38 = 8,331.96/x
  3. Step 3: Cross multiply
    13,874.76x = 20,817.38 × 8,331.96
  4. Step 4: Simplify right side
    13,874.76x = 173,449,577.46
  5. Step 5: Solve for x
    x = 173,449,577.46/13,874.76
  6. Step 6: Final answer
    x = 12,501.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.