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Finding the Fourth Proportional to 21,206, 31,809 and 6,614

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Solution

The fourth proportional to 21,206, 31,809 and 6,614 is: 9,921

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206 : 31,809 = 6,614 : x
  2. Step 2: Convert to fraction form
    21,206/31,809 = 6,614/x
  3. Step 3: Cross multiply
    21,206x = 31,809 × 6,614
  4. Step 4: Simplify right side
    21,206x = 210,384,726
  5. Step 5: Solve for x
    x = 210,384,726/21,206
  6. Step 6: Final answer
    x = 9,921

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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.