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Finding the Fourth Proportional to 14,431.82, 19,910.42 and 8,764.42

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Solution

The fourth proportional to 14,431.82, 19,910.42 and 8,764.42 is: 12,091.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.82 : 19,910.42 = 8,764.42 : x
  2. Step 2: Convert to fraction form
    14,431.82/19,910.42 = 8,764.42/x
  3. Step 3: Cross multiply
    14,431.82x = 19,910.42 × 8,764.42
  4. Step 4: Simplify right side
    14,431.82x = 174,503,309.16
  5. Step 5: Solve for x
    x = 174,503,309.16/14,431.82
  6. Step 6: Final answer
    x = 12,091.57

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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.