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Finding the Fourth Proportional to 43,638, 65,457 and 10,806

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Solution

The fourth proportional to 43,638, 65,457 and 10,806 is: 16,209

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,638 : 65,457 = 10,806 : x
  2. Step 2: Convert to fraction form
    43,638/65,457 = 10,806/x
  3. Step 3: Cross multiply
    43,638x = 65,457 × 10,806
  4. Step 4: Simplify right side
    43,638x = 707,328,342
  5. Step 5: Solve for x
    x = 707,328,342/43,638
  6. Step 6: Final answer
    x = 16,209

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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.