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Finding the Fourth Proportional to 13,971.70, 20,914.35 and 8,110.90

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Solution

The fourth proportional to 13,971.70, 20,914.35 and 8,110.90 is: 12,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.70 : 20,914.35 = 8,110.90 : x
  2. Step 2: Convert to fraction form
    13,971.70/20,914.35 = 8,110.90/x
  3. Step 3: Cross multiply
    13,971.70x = 20,914.35 × 8,110.90
  4. Step 4: Simplify right side
    13,971.70x = 169,634,201.42
  5. Step 5: Solve for x
    x = 169,634,201.42/13,971.70
  6. Step 6: Final answer
    x = 12,141.27

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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.