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Finding the Fourth Proportional to 43,824, 65,736 and 14,640

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Solution

The fourth proportional to 43,824, 65,736 and 14,640 is: 21,960

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,824 : 65,736 = 14,640 : x
  2. Step 2: Convert to fraction form
    43,824/65,736 = 14,640/x
  3. Step 3: Cross multiply
    43,824x = 65,736 × 14,640
  4. Step 4: Simplify right side
    43,824x = 962,375,040
  5. Step 5: Solve for x
    x = 962,375,040/43,824
  6. Step 6: Final answer
    x = 21,960

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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.