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Finding the Fourth Proportional to 13,871.70, 20,764.35 and 8,010.90

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Solution

The fourth proportional to 13,871.70, 20,764.35 and 8,010.90 is: 11,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.70 : 20,764.35 = 8,010.90 : x
  2. Step 2: Convert to fraction form
    13,871.70/20,764.35 = 8,010.90/x
  3. Step 3: Cross multiply
    13,871.70x = 20,764.35 × 8,010.90
  4. Step 4: Simplify right side
    13,871.70x = 166,341,131.42
  5. Step 5: Solve for x
    x = 166,341,131.42/13,871.70
  6. Step 6: Final answer
    x = 11,991.40

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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.