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Finding the Fourth Proportional to 29,769, 44,640.12 and 21,414

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Solution

The fourth proportional to 29,769, 44,640.12 and 21,414 is: 32,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,769 : 44,640.12 = 21,414 : x
  2. Step 2: Convert to fraction form
    29,769/44,640.12 = 21,414/x
  3. Step 3: Cross multiply
    29,769x = 44,640.12 × 21,414
  4. Step 4: Simplify right side
    29,769x = 955,923,529.68
  5. Step 5: Solve for x
    x = 955,923,529.68/29,769
  6. Step 6: Final answer
    x = 32,111.38

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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.