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Finding the Fourth Proportional to 21,286, 31,929.02 and 6,694

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Solution

The fourth proportional to 21,286, 31,929.02 and 6,694 is: 10,041.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,286 : 31,929.02 = 6,694 : x
  2. Step 2: Convert to fraction form
    21,286/31,929.02 = 6,694/x
  3. Step 3: Cross multiply
    21,286x = 31,929.02 × 6,694
  4. Step 4: Simplify right side
    21,286x = 213,732,859.88
  5. Step 5: Solve for x
    x = 213,732,859.88/21,286
  6. Step 6: Final answer
    x = 10,041.01

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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.