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Finding the Fourth Proportional to 21,045, 29,042.73 and 11,614.17

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Solution

The fourth proportional to 21,045, 29,042.73 and 11,614.17 is: 16,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,045 : 29,042.73 = 11,614.17 : x
  2. Step 2: Convert to fraction form
    21,045/29,042.73 = 11,614.17/x
  3. Step 3: Cross multiply
    21,045x = 29,042.73 × 11,614.17
  4. Step 4: Simplify right side
    21,045x = 337,307,203.48
  5. Step 5: Solve for x
    x = 337,307,203.48/21,045
  6. Step 6: Final answer
    x = 16,027.90

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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.