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Finding the Fourth Proportional to 18,512, 25,546.92 and 10,128.68

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Solution

The fourth proportional to 18,512, 25,546.92 and 10,128.68 is: 13,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,512 : 25,546.92 = 10,128.68 : x
  2. Step 2: Convert to fraction form
    18,512/25,546.92 = 10,128.68/x
  3. Step 3: Cross multiply
    18,512x = 25,546.92 × 10,128.68
  4. Step 4: Simplify right side
    18,512x = 258,756,577.67
  5. Step 5: Solve for x
    x = 258,756,577.67/18,512
  6. Step 6: Final answer
    x = 13,977.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.