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Finding the Fourth Proportional to 43,826, 65,739 and 14,642

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Solution

The fourth proportional to 43,826, 65,739 and 14,642 is: 21,963

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,826 : 65,739 = 14,642 : x
  2. Step 2: Convert to fraction form
    43,826/65,739 = 14,642/x
  3. Step 3: Cross multiply
    43,826x = 65,739 × 14,642
  4. Step 4: Simplify right side
    43,826x = 962,550,438
  5. Step 5: Solve for x
    x = 962,550,438/43,826
  6. Step 6: Final answer
    x = 21,963

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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.