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Finding the Fourth Proportional to 21,007, 31,514.82 and 8,695

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Solution

The fourth proportional to 21,007, 31,514.82 and 8,695 is: 13,044.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007 : 31,514.82 = 8,695 : x
  2. Step 2: Convert to fraction form
    21,007/31,514.82 = 8,695/x
  3. Step 3: Cross multiply
    21,007x = 31,514.82 × 8,695
  4. Step 4: Simplify right side
    21,007x = 274,021,359.90
  5. Step 5: Solve for x
    x = 274,021,359.90/21,007
  6. Step 6: Final answer
    x = 13,044.29

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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.