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Finding the Fourth Proportional to 10,881.44, 16,327.64 and 8,113.68

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Solution

The fourth proportional to 10,881.44, 16,327.64 and 8,113.68 is: 12,174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.44 : 16,327.64 = 8,113.68 : x
  2. Step 2: Convert to fraction form
    10,881.44/16,327.64 = 8,113.68/x
  3. Step 3: Cross multiply
    10,881.44x = 16,327.64 × 8,113.68
  4. Step 4: Simplify right side
    10,881.44x = 132,477,246.12
  5. Step 5: Solve for x
    x = 132,477,246.12/10,881.44
  6. Step 6: Final answer
    x = 12,174.61

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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.