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Finding the Fourth Proportional to 21,006.09, 31,514.03 and 6,965.09

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Solution

The fourth proportional to 21,006.09, 31,514.03 and 6,965.09 is: 10,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.09 : 31,514.03 = 6,965.09 : x
  2. Step 2: Convert to fraction form
    21,006.09/31,514.03 = 6,965.09/x
  3. Step 3: Cross multiply
    21,006.09x = 31,514.03 × 6,965.09
  4. Step 4: Simplify right side
    21,006.09x = 219,497,897.64
  5. Step 5: Solve for x
    x = 219,497,897.64/21,006.09
  6. Step 6: Final answer
    x = 10,449.25

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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.