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Finding the Fourth Proportional to 27,638, 41,457.12 and 9,170

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Solution

The fourth proportional to 27,638, 41,457.12 and 9,170 is: 13,755.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638 : 41,457.12 = 9,170 : x
  2. Step 2: Convert to fraction form
    27,638/41,457.12 = 9,170/x
  3. Step 3: Cross multiply
    27,638x = 41,457.12 × 9,170
  4. Step 4: Simplify right side
    27,638x = 380,161,790.40
  5. Step 5: Solve for x
    x = 380,161,790.40/27,638
  6. Step 6: Final answer
    x = 13,755.04

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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.