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Finding the Fourth Proportional to 13,736.96, 20,605.44 and 7,889.84

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Solution

The fourth proportional to 13,736.96, 20,605.44 and 7,889.84 is: 11,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736.96 : 20,605.44 = 7,889.84 : x
  2. Step 2: Convert to fraction form
    13,736.96/20,605.44 = 7,889.84/x
  3. Step 3: Cross multiply
    13,736.96x = 20,605.44 × 7,889.84
  4. Step 4: Simplify right side
    13,736.96x = 162,573,624.73
  5. Step 5: Solve for x
    x = 162,573,624.73/13,736.96
  6. Step 6: Final answer
    x = 11,834.76

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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.