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Finding the Fourth Proportional to 21,705, 29,952.90 and 11,769

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Solution

The fourth proportional to 21,705, 29,952.90 and 11,769 is: 16,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705 : 29,952.90 = 11,769 : x
  2. Step 2: Convert to fraction form
    21,705/29,952.90 = 11,769/x
  3. Step 3: Cross multiply
    21,705x = 29,952.90 × 11,769
  4. Step 4: Simplify right side
    21,705x = 352,515,680.10
  5. Step 5: Solve for x
    x = 352,515,680.10/21,705
  6. Step 6: Final answer
    x = 16,241.22

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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.