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Finding the Fourth Proportional to 43,828, 65,742 and 14,644

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Solution

The fourth proportional to 43,828, 65,742 and 14,644 is: 21,966

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,828 : 65,742 = 14,644 : x
  2. Step 2: Convert to fraction form
    43,828/65,742 = 14,644/x
  3. Step 3: Cross multiply
    43,828x = 65,742 × 14,644
  4. Step 4: Simplify right side
    43,828x = 962,725,848
  5. Step 5: Solve for x
    x = 962,725,848/43,828
  6. Step 6: Final answer
    x = 21,966

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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.