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Finding the Fourth Proportional to 38,262, 57,395.16 and 13,638

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Solution

The fourth proportional to 38,262, 57,395.16 and 13,638 is: 20,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,262 : 57,395.16 = 13,638 : x
  2. Step 2: Convert to fraction form
    38,262/57,395.16 = 13,638/x
  3. Step 3: Cross multiply
    38,262x = 57,395.16 × 13,638
  4. Step 4: Simplify right side
    38,262x = 782,755,192.08
  5. Step 5: Solve for x
    x = 782,755,192.08/38,262
  6. Step 6: Final answer
    x = 20,457.77

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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.