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Finding the Fourth Proportional to 21,609, 29,820.42 and 11,673

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Solution

The fourth proportional to 21,609, 29,820.42 and 11,673 is: 16,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,609 : 29,820.42 = 11,673 : x
  2. Step 2: Convert to fraction form
    21,609/29,820.42 = 11,673/x
  3. Step 3: Cross multiply
    21,609x = 29,820.42 × 11,673
  4. Step 4: Simplify right side
    21,609x = 348,093,762.66
  5. Step 5: Solve for x
    x = 348,093,762.66/21,609
  6. Step 6: Final answer
    x = 16,108.74

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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.