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Finding the Fourth Proportional to 21,201.41, 31,809.03 and 10,666

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Solution

The fourth proportional to 21,201.41, 31,809.03 and 10,666 is: 16,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.41 : 31,809.03 = 10,666 : x
  2. Step 2: Convert to fraction form
    21,201.41/31,809.03 = 10,666/x
  3. Step 3: Cross multiply
    21,201.41x = 31,809.03 × 10,666
  4. Step 4: Simplify right side
    21,201.41x = 339,275,113.98
  5. Step 5: Solve for x
    x = 339,275,113.98/21,201.41
  6. Step 6: Final answer
    x = 16,002.48

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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.