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Finding the Fourth Proportional to 21,871.26, 32,811.21 and 8,020.38

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Solution

The fourth proportional to 21,871.26, 32,811.21 and 8,020.38 is: 12,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.26 : 32,811.21 = 8,020.38 : x
  2. Step 2: Convert to fraction form
    21,871.26/32,811.21 = 8,020.38/x
  3. Step 3: Cross multiply
    21,871.26x = 32,811.21 × 8,020.38
  4. Step 4: Simplify right side
    21,871.26x = 263,158,372.46
  5. Step 5: Solve for x
    x = 263,158,372.46/21,871.26
  6. Step 6: Final answer
    x = 12,032.15

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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.