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Finding the Fourth Proportional to 21,262, 31,882.37 and 12,380.25

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Solution

The fourth proportional to 21,262, 31,882.37 and 12,380.25 is: 18,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262 : 31,882.37 = 12,380.25 : x
  2. Step 2: Convert to fraction form
    21,262/31,882.37 = 12,380.25/x
  3. Step 3: Cross multiply
    21,262x = 31,882.37 × 12,380.25
  4. Step 4: Simplify right side
    21,262x = 394,711,711.19
  5. Step 5: Solve for x
    x = 394,711,711.19/21,262
  6. Step 6: Final answer
    x = 18,564.19

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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.