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Finding the Fourth Proportional to 21,605, 29,814.90 and 11,669

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Solution

The fourth proportional to 21,605, 29,814.90 and 11,669 is: 16,103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,605 : 29,814.90 = 11,669 : x
  2. Step 2: Convert to fraction form
    21,605/29,814.90 = 11,669/x
  3. Step 3: Cross multiply
    21,605x = 29,814.90 × 11,669
  4. Step 4: Simplify right side
    21,605x = 347,910,068.10
  5. Step 5: Solve for x
    x = 347,910,068.10/21,605
  6. Step 6: Final answer
    x = 16,103.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.